A park has the shape of a trapezoid.

The shortest side of the park and its height have the same dimension.

Write numbers in the boxes to show the missing dimensions. What is the area of the park?

Hint: There are 3 parts in this question
Part 1 you need to find what is A
Part 2 you need to find what is B
Part 3 You need to calculate the area of all the figure ( find the area of the rectangle and two triangles then sum them all up)
Do not forget the unit!!

A Park Has The Shape Of A Trapezoid. The Shortest Side Of The Park And Its Height Have The Same Dimension.

Answers

Answer 1

Answer:

[tex]the\: answer \: is \: {108 \: mi.}^{2} [/tex]

Step-by-step explanation:

Given hints:

a.) A park has the shape of a trapezoid.

b.) The shortest side of the park and its height have the same dimension.

In the given figure, the shortest side of the park is A. Since it is mentioned that the height and its shortest side have the same dimension, we can therefore say that the measure of A is 9 mi.

The longest side appears to be 6 miles longer that the shortest side:

[tex]b = a + 3 \: mi + 3 \: mi = a + 6 \: mi[/tex]

Therefore, B = A + 6 mi. = 9 mi. + 6 mi. = 15 mi.

Let's now determine the area of the park:

[tex]area = \frac{a + b}{2} h[/tex]

Where,

A = 9 mi.

B = 15 mi

H = 9 mi.

[tex]area = \frac{a + b}{2} h \\ \\ = \frac{9 \: mi. +15 \: mi. }{2} (9 \: mi.) \\ \\ = \frac{24 \: mi.}{2}(9 \: mi.) \\ \\ = (12 \: mi.)(9 \: mi. \\ \\ area = {108 \: mi.}^{2} [/tex]

The area of the park is 108 mi^2.


Related Questions

Help pls!

What is the quotient 3/4 and 5/6

3/4
9/10
1 1/9
4 1/2

Answers

Answer:

9/10

Step-by-step explanation:

To divide by 5/6, invert 5/6, obtaining 6/5, and then multiply:

 3         6

------ *  ----- = 18/20 = 9/10 (same as the 2nd possible answer)

  4        5

Need Help ASAP! Use pie as 3.14.Please solve thoroughly please and thank you!

Answers

No need to use pi for this problem! So we're finding the area of a trapezoid. It's made up of: a square with length and width 2, and two triangles with a base 2 and height 2.

Area of a triangle formula is [tex]A = \frac{1}{2} B\cdot h[/tex]

[tex]A = \frac{1}{2}\cdot2\cdot 2[/tex]

[tex]A = \frac{1}{2}\cdot 4[/tex]

[tex]A = 2[/tex] units^2

And since the two triangles are the same, the other triangle has the same area: 2 units^2

For the square we can use [tex]A = l\cdot w[/tex]  

[tex]A = 2 \cdot 2[/tex]

[tex]A = 4[/tex]

Combine the areas: the total area is 2 + 2 + 4 , = 8 units^2

Answer:

8 units²

Step-by-step explanation:

In order to find the area of this trapezoid, you can apply the formula for the area of a trapezoid: ([tex]b_{1}[/tex] + [tex]b_{2}[/tex]) × h/2

In the equation, you already know base one (2) and the height (2), but base two isn't given. To find the length of the whole base, you need the length of the other side of the square: You can tell that it is two because the two given sides of the square are 2.

Since you now know that the length of the missing side of the base is 2, you can add the three values given to get the base length:

2 + 2 + 2 = 6

Now, you have all the information needed to find the area of the trapezoid. Input them all into the equation:

([tex]b_{1}[/tex] + [tex]b_{2}[/tex])*h/2 where [tex]b_{1}[/tex] is 2, [tex]b_{2}[/tex] is 6, and h is 2,

(2 + 6) × 2/2

= 8 × 1

= 8 units²

How many square feet of outdoor carpet will
we need for this hole?

Answers

Answer:

30 square feet

Step-by-step explanation:

Bottom rectangle: 2*5 = 10

Middle rectangle: 2*6 = 12

Top rectangle: 2*4 = 8

Total: 10 + 12 + 8 = 30

I will give brainliest if you answer please

Answers

ok the answer is b

Step-by-step explanation:

What is the area of polygon ABCDE?




Need answers ASAP!
Will give brainliest if possible!!

Answers

Answer:

66 cm

Step-by-step explanation:

You can find the area of the rectangle by simply multiplying the sides that are complete and don't touch the triangle. That is equal to 60 cm.

To find the area of the triangle, you first have to find the sides. You can find the first side by subtract the top side of the rectangle from the bottom, which gets us 3 (12-9). Then subtract the left side (5) from the right side (9) (9-5), which gets us 4. That would mean that 3*4*1/2 is equal to 6. 6+60 is equal to 66 cm.

Hope that this helps!

A circular garden is 20 feet across; a gardener wants to cover it with sod. If each sod piece is two square feet, how much sod will be needed?

Answers

Answer:

750

Step-by-step explanation:

helllllllpppppppppp!!!!!!!!

Answers

Answer:

i dont know

Step-by-step explanation:

.

find 2a- 5b
please help​

Answers

A= -2

Step-by-step explanation:

B=45

A group of 12 people at a party equally shared 3 large sandwiches. What fraction of the sandwiches did each person receive?

Answers

Answer:

Each person got 1/4 of a sandwitch

While waiting for a video game to download, you notice that 30\%30%30, percent of 32{,}00032,00032, comma, 000 kilobytes have been downloaded so far.

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

9600 kilobytes

Step-by-step explanation:

"of" means to multiply, so 0.3 times 32000 is 9600

Evaluate the Expression when x = 6 and y = 5.
(x - 1) + (y - 1)

Answers

Answer:

9

Step-by-step explanation:

I WILL MARK YOU BRAINLIEST JUST PLZ HURRY What is the rule to find the value of the missing term in the sequence in the table at the right? justify your answer

Answers

Answer:

(x-1)x4+1

each value is increasing by exactly 4 for each step shown, starting with 1.

so, 2 becomes

(2-1)= 1

1x4= 4

4+1=5

In a right triangle, one of the non-right angles is 73 degrees. What is the measure of the other non-right angle?

Answers

The sum of all angles in a triangle has to be 180 so

180-90-73=17

The other non right angle is 17

A box with dimensions 1 1⁄4 ft x 2 3⁄4 ft x 3⁄4 ft was being filled with smaller boxes. Each of the smaller boxes are shaped like a cube. The smaller cube shaped boxes have the dimensions 1⁄4 ft x 1⁄4 ft x 1⁄4 ft. How many of the 1⁄4 ft x 1⁄4 ft x 1⁄4 ft cubes can be packed into the larger box?

Answers

Answer: 165 boxes

Step-by-step explanation:

Given

The dimension of the bigger box is  [tex]1\ \frac{1}{4}\times 2\ \frac{3}{4}\times \frac{3}{4}\ ft^3[/tex]

the dimension of the smaller box is  [tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\ ft^3[/tex]

The volume of the large box

[tex]\Rightarrow V_1=\dfrac{5}{4}\times \dfrac{11}{4}\times \dfrac{3}{4}=\dfrac{165}{64}\ ft^3[/tex]

The volume of the small box

[tex]\Rightarrow V_o=\dfrac{1}{4}\times\dfrac{1}{4}\times \dfrac{1}{4}=\dfrac{1}{64}\ ft^3[/tex]

Suppose there are n small boxes

[tex]\Rightarrow n=\dfrac{V_1}{V_o}[/tex]

[tex]\Rightarrow n=\dfrac{\frac{165}{64}}{\frac{1}{64}}=165\ \text{boxes}[/tex]

4Please help!! Geometry, will mark brainliest!

Answers

Rhombuses have four congruent sides, perpendicular diagonals, and their diagonals bisect opposite angles. Rectangles have four right angles and congruent diagonals. Squares contain all the properties from both the rhombus and rectangle.

Which of these cannot represent the lengths of the sides of a right triangle?
03 ft, 4 ft, 5 ft
O 6 in., 8 in., 10 in.
O 16 cm, 63 cm, 65 cm
O8 m. 9 m, 10 m

Answers

Answer:

16 cm, 63 cm, 65 cm

Step-by-step explanation:

Because those side lengths are to big to make a right triangle

I need help
4x^2-8x-23=0

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Check the screenshot below!

Explanation:

I hope this helped!

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A salesman earend a $325 salery this month. His total sales were $700. If the salesman earend a total of $360. What was his commission rate?

Answers

Answer:

Commission rate= 5% of sales

Step-by-step explanation:

Giving the following information:

Fixed salary= $325

Monthly salary= $360

Sales= $700

First, we need to calculate the commissions:

Commission= monthly salary  - fixed salary

Commission= 360 - 325

Commission= $35

Now, the commission rate:

Commission= commission rate* sales

35 = commission rate*700

0.05= commission rate

commission rate= 5% of sales

Lindsay infers that out of 400 people,300 would prefer to watch movies in a theater. Is her inference valid?

Answers

Theater: 30
Streaming: 62
DVD: 8
( this information was given in a table but I couldn't do that here)
Please mark brainliest

I need this the answer to 2/7 × 5/6

Answers

Answer:

5/21

Step-by-step explanation:

i mutiplyed

EL ARQUITECTO VALDIVIA DONÓ UN TERRENO, COMO EN DE LA SIGUIENTE FIGURA, PARA CONSTRUIR UN PARQUE.


EL COMITÉ DEL FRACCIONAMIENTO VA A CERRARLO Y EMPASTARLO ANTES DE INICIAR EL DISEÑO DE LOS

PLANOS.

Answers

Answer:

THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.

THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.

Step-by-step explanation:

This is what it says in english

Jamal is baking 4 batches of chocolate chip cookies. He needs 2 13 cups of sugar for each batch. Which expression could be used to determine the total amount of sugar that Jamal needs?

Answers

Answer:

8/13 cups of sugar

Step-by-step explanation:

Jamal is baking 4 batches of chocolate chip cookies. He needs 2 13 cups of sugar for each batch. Which expression could be used to determine the total amount of sugar that Jamal needs?

For the above question

1 batch of chocolate chips cookies = 2/13 cups of sugar

4 batches = x

Cross Multiply

x = 4 × 2/13 cups of sugar

x = 8/13 cups of sugar

hellllllp how do you do this?​

Answers

Answer: D
Explanation: When when you transcribe you have to turn the DNA into mRNA-Base pairing rules that pairs A with U in this case and then C with G!!!

Please help me solve :(((

Answers

Answer:

θ ≈ 15°

Step-by-step explanation:

Using the sine rule in the triangle

note 7.56 × 10² = 756 and 2.4 × 10³ = 2400 , then

[tex]\frac{756}{sin0}[/tex] = [tex]\frac{2400}{sin125}[/tex] ( cross- multiply )

2400 × sinθ = 756 × sin125° ( divide both sides by 2400 )

sinθ = [tex]\frac{756sin125}{2400}[/tex] , then

θ = [tex]sin^{-1}[/tex] ( [tex]\frac{756sin125}{2400}[/tex] ) ≈ 15° ( to the nearest degree )

How would I right subtract 1.9 from the product of 7.4 and 3

Answers

Answer:

24.1

Step-by-step explanation:

7.4x3=22.2

22.2+1.9=24.1

65 traffic cones we’re equally spaced over 5/8 of a mile how many traffic cones are used per mile

Answers

Given:

65 traffic cones we’re equally spaced over [tex]\dfrac{5}{8}[/tex] of a mile.

To find:

The number of traffic cones are used per mile.

Solution:

We have,

Number of cones used in [tex]\dfrac{5}{8}[/tex] of a mile = 65

Number of cones used for a mile = [tex]65\times \dfrac{8}{5}[/tex]

                                                       = [tex]13\times 8[/tex]

                                                       = [tex]104[/tex]

Therefore, 104 traffic cones are used per mile.

I NEED HELP PLEASE A rectangle has a length of 3x+5 and a total area is + 11x +10 find the width of the rectangle.

Answers

Answer:

3.667+ 2

Step-by-step explanation:

Area of a rectangle = length x width

11x + 10 = (3x +5) x width

to determine the width, divide both sides of the equation by 3x + 5

(11x + 10) / (3x + 5) = width

width = 3.667 + 2

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A student graphed f(x)=x and g(x)=f(x)−2 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

A The graph of f is shifted up two units to create the graph of g.

B The graph of f is less steep than the graph of g.

C The graph of f is shifted down 2 units to create the graph of g.

D The graph of f is steeper than the graph of g.

Answers

Answer:

A The graph of f is shifted up two units to create the graph of g.

Step-by-step explanation:

Answer:
A) The graph of f is shifted up two units to create the graph of g.

Explanation:

One of my friends said to have had this questioning their test and they got a 100 so I’m sure it’s A. If this helped pls give brainliest I need to rank up thank you :)

Pls I need help and do not post that link thank you

Answers

Bottom right :):):):)

Answer:

4 the one

hope 5hid will you

Rick is currently 72 inches tall. He wants to compare himself to his friend who is 5 feet and 11 inches tall. How many inches taller is Rick than his friend?

Answers

Answer:

1 inch

Step-by-step explanation:

We would have to convert rick's friends height to inches

1 feet = 12 inches

Friend's height = (12 x 5) + 11 = 71 inches

Difference in height = 72 - 71 = 1

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