John enlarged one side of his square flower bed by 8 ft to make it into a rectangle. The area of the new flower bed is 3 times the area of the old one. What was the length of the side of the old flower bed.

Answers

Answer 1

Answer:

4 ft.

Step-by-step explanation:

We can consider the orignial square's sides to be x, so area of the original figure: [tex]x^{2}[/tex]

The new rectangle's sides will be x and x+8, so the area of the new figure will be x^2+8x.

We know that the new area is 3 times the old one. So our equation will be:

x^2+8x=3x^2

our answer will be x=4.

Therfore, the length of the side of the old flower bed is 4 ft.

Answer 2

Applying the area of rectangle, an equation is created to find the length of the side of the old flower bed, which is: 4 ft.

What is Area of a Rectangle?

Area = length × width.

Thus:

Let x represent the side of the square old flower bed

Area of old flower bed = x × x = x²

Dimensions of new rectangular flower bed:

Width = x

Length = x + 8

Area = 3(x²) = 3x²

Thus:

x(x + 8) = 3x²

x² + 8x = 3x²

8x = 3x² - x²

8x = 2x²

8x/2 = x²

4x = x²

4x/x = x²/x

4 = x

x = 4

Thus, applying the area of rectangle, an equation is created to find the length of the side of the old flower bed, which is: 4 ft.

Learn more about area of rectangle on:

https://brainly.com/question/25292087


Related Questions

The bar graph shows the number of each kind of pet owned in Critter City. How many more cats are pets in Critter City than fish?
A)
5
B)
10
15
D)
30

Answers

Answer:

i need the photo to answer

Step-by-step explanation:

Sam bought 7 colors of oil paint and 7 colors of watercolors. The oil paint costs
$2 each, and the watercolors cost $1 each. How much did all of his paint cost?

Answers

Answer:

21

Step-by-step explanation:

Answer

(MIGHT BE WRONG)

I'm pretty sure 21

Step-by-step explanation:

A school needs to buy new notebook
and desktop computers for its
computer lab. The notebook
computers cost $400 each, and the
laptop
computers cost $150 each. How
much would it cost to buy 13
notebooks and 19 desktop
computers? How much would it cost
to buy
n notebooks and d desktop
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Total cost, 13 notebooks and 19
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Total cost, n notebooks and d desktop
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Answers

Answer:

so if they need 400 nc and they need 13 you need to multiply which is 5200 alr now same thing with the other 150 and they need 19 you get 2850 now all together you get that's 8050 hope this helped

What is the distance, in a radical form, between the points (5,-6) and (2,5).

Answers

Answer:

L²=(x1-x2)²+(y1-y2)²

L2=(5-2)²+(-6-5)²

L²=3²+(-11)²

L²=9+121

L²=130

L=✔130

Use the fact that ✓7 is a solution to the equation
x2 = 7 to find a decimal approximation of v7 whose
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Answers

Answer:

784

Step-by-step explanation:

solve for X


please answer will give brainliest!!!

Answers

x = 9.25
This is because you have to subtract 3.5 from both sides of the equal sign in order for x to be by itself on the left side. 12.75 minus 3.5 equals 9.25

I need to know this answer it’s very important. It’s on a test and if I don’t get an answer I’ll have to go to summer school!!!

Answers

28/24 = 42/AC
28.AC = 42.24
AC = 42.24/28
AC = 36 ft

Please help! I dont have much more time to do school today

Answers

Answer:

B

Step-by-step explanation:

Answer:

put the numbers in order, cross off low/high pairs, add the leftover numbers, divide the sum by two

Step-by-step explanation:

3 4/7 minus 2 1/5 by rounding to the nearest half

Answers

Answer:

[tex]1 \frac{13}{35}[/tex]

Step-by-step explanation:

[tex]3 \frac{4}{7} - 2 \frac{1}{5}[/tex]

you can solve for the fractions first, but you have to give them a common denominator

[tex]\frac{20}{35}- \frac{7}{35}[/tex]

[tex]= \frac{13}{35}[/tex] which is in simplest form

then solve for the whole numbers

3-2=1

therefore, the answer is [tex]1 \frac{13}{35}[/tex]

What is the approximate monthly payment on a 3 year loan at 10% on a principal of $5,000

Answers

Answer:

161.34

Step-by-step explanation:

Answer:

$166.66

Step-by-step explanation:

d33znuts

weeeeeeeeeeeeeee3seeeeeeehehejdurut

Answers

Answer:

huh....is there a problem

......are you good-?

Find the distance between the points (-5,5) and (-6,-4).

Answers

Answer:

distance = 9.06 units

Step-by-step explanation:

x difference = -1

y difference = -9

using the Pythagorean theorem:

-1² + -9² = d²

d² = 1 + 81 = 82

d = 9.06

The solids are similar. Find the missing dimension.

Answers

Answer:

i need the picture

Step-by-step explanation:

To find the missing measure of similar solids, set up a proportion of corresponding dimensions. Then, cross multiply and divide. To find the surface are of similar solids, set up a ratio of surface area equal to the squared ratio of given linear measures. Then cross multiply and divide.

A closing is March 5 for a rental property with an annual tax bill of $2800. Calculate and show the debit and credits for the tax proration between the buyer and seller using the 365 day method, the day of closing belongs to the buyer.

Answers

Answer:

The debit and credits for the tax proration will be as follows:

Debit seller for $483.29; and Credit buyer for $483.29.

Step-by-step explanation:

The assignment of how much is owed to the responsible party is the major reason of a proration.

For the days owned by the seller, the buyer needs money from the seller since the buyer will pay the taxes at end of the year.

Amount per day = Annual tax bill / 365 = $2800 / 365 = $7.67

Total number of days from January 1 to a day before March 5 = Number of days in January + Number of days in February + Number of days from March 1 to March 4 = 31 + 28 + 4 = 63

Amount the seller owes for the time he owned = Amount per day * Total number of days from January 1 to a day before March 5 = $7.67 * 63 = $483.29

Therefore, the debit and credits for the tax proration will be as follows:

Debit seller for $483.29; and Credit buyer for $483.29.

Mike runs a total of 10 miles in 4 days. If he continues running at this rate, how far will he have run in 10 days? solution only need to input the number.

Answers

Answer:

25 miles

Step-by-step explanation:

4 days is 10 miles, 8 days is 20 miles. In order to find two days, divide the days and miles in half, leaving you with 2 days and 5 miles left. Therefore, 10 days is 25 miles. I hope this helped!

what is the opposite of –|−8|?

Answers

Answer:

it should be |8| or just 8 because there can not be a negative in the absolute value sign. pretty sure but not 100%

Answer:

|8|

Step-by-step explanation:

that is your answer :D

Carpet costs 12$ per square yard how much will it cost to carpet a room that is 180 square feet?​

Answers

Answer:

Step-by-step explanation:

ablo español espero q emtiendas el numero se multiplica cada ves mas por el segunado dando asi el resultado

Answer:

$240

Step-by-step explanation:

Area of the room, converted to square yards:

1 ft = 1/3  yd1 ft² = 1/9 yd²180 ft² = 180 * 1/9 yd² = 20 yd²

Cost of the carpet:

20*$12 = $240

When you factor a trinomial, you are undoing what process?

Answers

I think it’s FOIL not fs tho...

Answer:

you would be undoing the FOIL process

Pls help this is due today ! Find the value x:

Answers

Answer:

x = 12

Step-by-step explanation:

180° = (3x - 6) + (8x + 4) + 50°  because all interior angles of a triangle add up to 180°

180° = 11x +48°

11x = 132°

x = 12

Solve the equation please

Answers

Answer:

y = 14

Step-by-step explanation:

| y + 3 | = 17

simplify:

y + 3 = 17

subtract 3 on both sides:

y + 3 - 3 = 17 - 3

y = 14

The sum of two numbers is 25. one number is twice the second number plus 7. what are the two numbers

Answers

Answer:

6 and 19

Step-by-step explanation:

x+y=25

2x+7=y

x+2x+7

3x+7=25

3x=18

x=6.

25-6=19.

y=19

HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER

Answers

Answer:

B 53

Step-by-step explanation:

I need help asap please someone help

Answers

Answer:

yes,yes,no,yes

Step-by-step explanation:

ASAP - can someone please help me with this?

Answers

Answer:

It's point Q

Step-by-step explanation:

It because sqrt(10) = 3.16227 so the nearset point is point Q.

it cost $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost?

Could you please give me the equation and show me how you got it please so I could understand... thanks.

Answers

Answer:

8.75

Step-by-step explanation:

if a bottle of 150 vitamins is 5.28...then that of 250 vitamins

x is the value of a single vitamin, therefore

5.25- 150

x- 1

150x divide by 5.25=0.035

therefore 250*0.035= 8.75

The temperature was very cold.
Then the temperature tripled.
Then the temperature dropped by 14 degrees.
Then the temperature increased by 32 degrees.
The temperature is now 51 degrees.
What was the starting temperature?
Do NOT write degrees.

Answers

Answer:

51-32+14=33

33÷3=11

answer is 11

Leonard wants to bake a cake, muffins, and cookies for his birthday party. He currently has 4lbs. Of flour. The cake recipe requires 1/2 lbs of flour and the cupcakes require 1 1/2 lbs. of flour. How much flour does Leonard have left to make the cookies

Answers

Answer:

He has 2 lbs. left over for cookies.

Step-by-step explanation:

I got this answer by first adding 1/2 + 1  1/2 = 2. Then subtracting 2 from 4 witch would be 2 lbs. left over.

si se opta por la primera modalidad cuanto de dinero se abra pagado al sexto mes

Answers

Answer:Los contratos de opciones se pueden tasar utilizando modelos matemáticos como los modelos de precios Black-Scholes o Binomial. El precio de una opción se compone principalmente de dos partes distintas: su valor intrínseco y su valor temporal. ... El valor temporal se basa en la volatilidad esperada del activo subyacente y el tiempo hasta el vencimiento de la opción.

Step-by-step explanation:¡espero que esto ayude!

Btw's I speak english too!

In UVW, the measure of ZW = 90°, UV = 96 feet, and VW = 58 feet. Find the
measure of V to the nearest degree.

Answers

Answer:

V=52.831≈ 53

Step-by-step explanation:

cosV=

hypotenuse

adjacent

=

96

58

\cos V = \frac{58}{96}

cosV=

96

58

V=\cos^{-1}(\frac{58}{96})

V=cos

−1

(

96

58

)

V=52.831\approx 53^{\circ}

V=52.831≈53

lan makes 60 cakes.
He gives à of the cakes to Helen.
He gives 20% of the 60 cakes to Sue.
What fraction of the 60 cakes does he have left?

Answers

Answer:

4/5

Step-by-step explanation:

there are 5 20s in 100 so 20 % is equal 1/5 so take 1/5 away and you get 4/5

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