the sides of a rectangle are in a ratio of 3:4 and the area is 300 sq. ft. find the length and width

Answers

Answer 1
L = 20 and W = 15
Explanation:
Let's review what is known about the rectangle in question - the area is 300 cm squared and the ratio of the Length to the Width (which I'll shorten to L and W) is 4:3.
Let's start with the ratio. We know that they are related to each other - 4 of a basic unit of length for L and 3 of that same basic unit of length for W. So we can say that
L =
4
x
and W =
3
x
We also know from the formula for the area of a rectangle that LW = Area of the rectangle. Substituting in the terms with the x's in them gives us
(
4
x
)
(
3
x
)
=
300
so let's solve for x:
12
x
2
=
300
x
2
=
300
12
=
25
x
=

25
=
5
(ignoring the negative root since that makes no sense in this application)
Substituting x back into our equations for L and W, we get
L =
4
(
5
)
=
20
and W =
3
(
5
)
=
15
Checking our work - there is a ratio of L:W of 4:3. And LW =
20

15
=
300
Hope this is what you meant

Related Questions

5 cm
8 cm
I hate math

Answers

answer:

area: 40cm²

perimeter = 26cm

step-by-step explanation:

i do not know which one this is telling you to find so i put both area and perimeter

area:

know the formulaformula = l x wl = lengthw = widthplug in what you have

l x w

5 x 8

= 40cm²

perimeter:

for this you just have to each sidesince this is rectangle opposite sides are equal

5 + 5 + 8 + 8

= 26cm

1. My dog Wyatt is growing at a rate of 1.5 ounces per month. He is currently 200 ounces. a) Write an expression that represents his change in weight per month, using ​M​ to

represent the amount of months.

b) Write an expression that represents his total weight after any number of months using ​M

to represent the number of months

c) Write an equation using the expression from question "b" that you could solve for ​M​ to

find how many months it will take for Wyatt to grow to a total weight of 230 ounces.

d) Solve the equation. How many months will it take for Wyatt to grow to a total weight of

230 ounces?

Answers

Answer:

a) Change in months after M months = 1.5 ounces per month * M

b) Weight after M months = 200 onces + 1.5 ounces per month * M

c) 20 months

d) 20 months

Step-by-step explanation:

Let M represent the number of months.

So,

a) Change in months after M months = 1.5 ounces per month * M

b) Weight after M months = 200 onces + 1.5 ounces per month * M

c)

[tex]230 = 200 + 1.5 * M\\M = \frac{230-200}{1.5} \\M = \frac{30}{1.5} \\M = 20[/tex]

d) 20 months

Two cards are dealt from a standard deck of cards, after it is dealt the first card IS REMOVED from the deck. Is this a Dependent or Independent probability problem?

Answers

Answer:

Dependent. The probability of what the second card will be changes based on what the first card is

Step-by-step explanation:

What is the equation of the line that passes through the point (1,3) and has a slope of -3

Answers

Answer:

y=-3x+6

Step-by-step explanation:

In the equation for a line y=mx+b, m is the slope, so you can get y=-3x+b.

You are given (1,3), so you can plug in 1 for x and 3 for y. You should get 3=-3(1)+b, so b=6. Plugging in b to y=-3x+b, you should get y=-3x+6.

What does Smoking Cause And Is Vaping Bad for you Lungs? Please help due in 7 min

Answers

smoking weed is good vaping sucks

Step-by-step explanation:

Answer:

Smoking causes lung damage. Smoking can cause lung cancer, heart disease, strokes, emphysema, heart murmurs, insomnia, asthma, and a wide variety of other diseases. Vaping is bad for your lungs. Vaping may cause issues with teeth and gum health, and the liquid that creates the vapor is dangerous to adults and children if they swallow or inhale it or get it on their skin.

Step-by-step explanation:

Kinsley bought 1.68 pounds of melon and 2.14 pounds of cherries. How much fruit did she buy in all?

Answers

kinsley bought 3.82 pounds of fruit in total

I’ll really appreciate it if you help me out on this one .

Answers

Answer:

Q is not a function

Step-by-step explanation:

A - Q hope it helps

11. A work day is 8 hours. You earn $48 for one work day What is the hourly pay rate? b. At that rate how much would you earn in 5 hours? Ker notes​

Answers

Answer:

You divide 48 and 8  to get 6 meaning you get $6 an hour.

6 x 5 = $30, soin 5 hours you get $30

Step-by-step explanation:

Answer:

A. You would earn 6 dollars an hour.

B. You would earn 30 dollars working for 5 hours.

Which expression is equivalent to -12w + 6?
A. 3(-5W + 2)
B. -3(-4w + 6)
C. (3)w - (-3)2 - (-3)5w
D. (3)w - (-3)2 + (-3)5w

Answers

most likely A sorry if i'm wrong

Answer:

D)

Step-by-step explanation:

If Angle P and Angle Q are supplementary,
and Angle P = 4x - 32 and
Angle Q = 5x + 50, find the value of x.

Answers

Answer: 313%      79%     3%

Step-by-step explanation:

The velocity function, in feet per second, is given for a particle moving along a straight line. () = 2 − − 42, 1 ≤ ≤ 12

Answers

Question:

The velocity function, in feet per second, is given for a particle moving along a straight line. [tex]v(t) = t^2 - t - 42[/tex]    [tex]1 \le t \le 12[/tex]

Find the displacement

Answer:

The displacement is 42.17ft

Step-by-step explanation:

Given

[tex]v(t) = t^2 - t - 42[/tex]    [tex]1 \le t \le 12[/tex]

The displacement x, is calculated using:

[tex]x = \int\limits^a_b {v(t)} \, dt[/tex]

[tex]x = \int\limits^{12}_{1} {t^2 - t - 42} \, dt[/tex]

Integrate

[tex]x = \frac{1}{3}t^3 - \frac{1}{2}t^2 - 42t|\limits^{12}_{1}[/tex]

Substitute 12 and 1 for t respectively

[tex]x = (\frac{1}{3}*12^3 - \frac{1}{2}*12^2 - 42*12) - (\frac{1}{3}*1^3 - \frac{1}{2}*1^2 - 42*1)[/tex]

[tex]x = (576 - 72 - 504) - (\frac{1}{3} - \frac{1}{2} - 42)[/tex]

[tex]x = (0) - (-42.17)[/tex]

[tex]x = 42.17[/tex]

What is an obtuse angle

Answers

Answer:

A triangle that has a measurement greater than 90 degrees but less than 180 degrees.

Step-by-step explanation:

Hope this helps!!

Can you please mark me branliest??

Which of these lists four factors of 12?
O 2,3,4,6
0 4,5,7,8
O 4, 6, 9, 12
O 24, 36, 48, 60

Answers

Answer:

2346 is the factor of 12 hope it helps

-What is the distance between -25 and -12 on
a number line?

Answers

Answer:

13 units

Step-by-step explanation:

25-12=13

Answer:

13 units

Step-by-step explanation:

| -25 - (-12) | = 13

illmark brainlist plss help

Answers

Answer:

Step-by-step explanation:

Grace paid $4.80/(4 notebooks) = {$4.80/4)/notebook = $1.20 per notebook

Jim paid $3.90/(3 notebooks) = ($3.90/3)/notebook = $1.30 per notebook

Grace found the better buy.

Please help me! 20 points!
[Inequalities Review]

Answers

Answer:

x<-3

x=>-5

Step-by-step explanation:

I think this is right... I haven't done inequalities in several years

Answer:

top is correct byereeeeeeeeee

What are all the expressions equivalent to 2(x+3)

Answers

Answer:

2 x + 6 and x = -3

Step-by-step explanation:

2x + 6 and x = -3 are the answers

Error Analysis Taniya incorrectly says that the solution of the system of equations is (-5, -3).
What is the correct solution? What error might Taniya have made?
6g - 3h = -3
7 = h -4g

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the linear equations.

answer is (-2,-1)

g=-2 , h = -1

Answer:

the answer would be (-3,-5)

Step-by-step explanation:

because she switched the g and h values

What shape will be angled cross-section of a rectangular pyramid be?

Answers

Answer:

a regular trapezium

Step-by-step explanation:

please mark me as brainliest

need help asapppp !! this is due by today !!

Answers

Answer:

Easy 19 is the volume Step-by-step explanation:

3,000 cm= ____ m

what goes in the blank? and how do I show my work for it?

correct=brainliest

Answers

Answer:

30 m

Step-by-step explanation:

3000cm ÷ 100 to get it in to metres which is 30m

Someone plzzzzzzzz........

Answers

Answer:

It's C. 1/20 = 5%

Step-by-step explanation:

You want to multiply the probability of each key for the two cars which is 1/5 × 1/4 because there are five keys. this gives you 1/20 when you multiply :)

b) How many solutions does this system have? Explain
y=3(2x-4)
y=6x-12

Answers

Answer:

one solution?

Step-by-step explanation:

The stone, an English unit of weight, is equal to 14
pounds. A kilogram is approximately equal to 2.2
pounds. If a water buffalo weighs 0.7 metric tons
(1 metric ton = 1,000 kilograms), what is its weight
in stones?

Answers

9514 1404 393

Answer:

  110 stones

Step-by-step explanation:

Using your conversion factors, you get ...

  [tex]0.7\text{ T}\cdot\dfrac{1000\text{ kg}}{1\text{ T}}\cdot\dfrac{2.2\text{ lb}}{1\text{ kg}}\cdot\dfrac{1\text{ st}}{14\text{ lb}}=\dfrac{0.7\cdot1000\cdot2.2}{14}\text{ st}\\\\=\boxed{110\text{ st}}[/tex]

_____

Additional comment

The exact conversion between kg and pounds is 1 lb = 0.45359237 kg. The number 2.2 is approximate, low by approximately 0.21%.

hi please help i’ll give brainliest please

Answers

Answer:

The second choice, 6(7x + 10)

Step-by-step explanation:

6(7x + 10)

6(7x) + 6(10) Distribute

42x + 60 Simplify

Answer:

6(7x+10)

Step-by-step explanation:

Hello There!

We can find an equivalent expression by factoring

First we need to find the greatest common factor (GCF)

GFC - largest number that both numbers can be divided by

Lets write down all of the multiples of each number

42 - 42 and 1, 21 and 2, 13 and 3, 6 and 7,

60 - 60 and 1, 30 and 2, 20 and 3, 4 and 15, 6 and 10

Then we find the greatest common factor which would be 6

42x/6=7x

60/6=10

so we can conclude that an equivalent expression would be

6(7x+10)

Trigonometric Ratios

Answers

Answer:

Sis I can't see

Step-by-step explanation:

.

.

.

.

.

Bnnn t is a great place to

There were 27 bales of hay in the barn. Grant stacked some more bales in the barn.Now there are 76 bales. Let b be the number of bales Grant stacked in the barn.

Answers

Answer:

b=49

Step-by-step explanation:

27+b=76

76-27= 49

b=49

The width of a rectangle is 3 cm less than the length.The area of the rectangle is 10cm^2. Write an equation that models the situation

Answers

Answer:

width is 2 and length is 5

Step-by-step explanation:

please help i dont know how to solve

Answers

Answer:

shouldn't it be all the same answer since it looks like a equilateral triangle

y’all i’ve been stuck on this for ever can anyone help?

Answers

Answer:

easiest way would be to buy all soup. you could buy 12 packages for $48 (48/4=12). you'd have 96 cans (12x8=96) and $2 left over.

there are lot if possible solutions, but that is easiest.

Answer: dude easy peasy so what you do is find how many cans u can get to equal up to $50

Step-by-step explanation:

so you would do this...

so u would add 8 six times

8+8+8+8+8+8=48 for the first on

so it would be 8

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