1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bogdan [553]
3 years ago
15

The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
5 0

Answer:

perimeter=90

Step-by-step explanation:

We know that the length is four times the width, so:

l=4w

We also know the area, which is 324 m². The formula for area:

A=l*w

Insert the known values:

324=(4w)*w

Solve for w. Simplify by removing parentheses:

324=4w*w\\324=4w^2

Divide 4 from both sides to isolate the variable:

\frac{324}{4}=\frac{4w^2}{4}  \\\\81=w^2

Find the square root of both sides:

\sqrt{81} =\sqrt{w^2} \\\\w=9

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

324=l*9

Solve for l. Divide both sides by 9:

\frac{324}{9}=\frac{l*9}{9}\\\\  l=36

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

P=2l+2w

Insert values:

P=2(36)+2(9)\\\\P=72+18\\\\P=90

The perimeter is 90 m.

You might be interested in
HELPPP I NEED HELP DUE VERY SOONNN
Dovator [93]

Answer:

x .  1 .  3  .  5  .  7  .  9

y . 6 . 18 . 30 . 42 . 54

Step-by-step explanation:

X-values are the odd numbers

Y-values are the corresponding x-values multiplied by 6

8 0
3 years ago
If f(x)=5x-1 and g(x) 2x^2 +1, what is 6he value of (f×g)(-3)​
saul85 [17]

Answer: D

Step-by-step explanation:

f(3)=5(-3)-1=-16\\\\\\g(3)=2(-3)^{2}+1=19\\\\(f\times g)(3)=-16 \times 19=\boxed{-304}

7 0
1 year ago
What is the APR on a loan with a monthly periodic rate of 1.75%
trapecia [35]
Try using socratic that will help too
6 0
3 years ago
nA car dealer who sells only late-model luxury cars recently hired a new salesperson and believes that this salesperson is selli
7nadin3 [17]

Answer:

The value of an appropriate test statistic for the car dealer to use is -4.

Step-by-step explanation:

The null hypothesis is:

H_{0} = 4600

The alternate hypotesis is:

H_{1} < 4600

The test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

In this problem:

X = 4100, \mu = 4600, \sigma = 500, n = 16

Then

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{4100 - 4600}{\frac{500}{\sqrt{16}}}

t = -4

The value of an appropriate test statistic for the car dealer to use is -4.

8 0
3 years ago
Calculate (9.9x10^8) + (5.5x10^6) give the answer in standard form and show working out
TEA [102]
Move the decimal place over as many times as the number that ten is rooted by like it would be 990,000,000 + 5,500,000 = 995,500,000 or (if they want it in the form for future reference) 995.5×10^6
6 0
3 years ago
Other questions:
  • Write two equivalent expressions to the following radical expression: (√104 * √124)8
    12·1 answer
  • What is 1/2 to the second power?
    12·2 answers
  • Which numbers are a distance of 6 units from 2 on the number line? PLZ HELP 
    10·2 answers
  • ​ b(1)=−7 b(n)=b(n−1)+12 ​ Find the 4th term in the sequence
    6·2 answers
  • Chris can be paid in one of two ways. Plan A is a salary of $400 per month, plus
    6·1 answer
  • 64 is 128% of what number?
    12·2 answers
  • Need help extra points and mark brainlist
    6·2 answers
  • A<br> B<br> C<br> D<br> Please help me
    12·1 answer
  • Is the given value a solution of the inequality​
    8·1 answer
  • A right triangle has a leg of 15 feet and a second leg of 24 feet. Find the length of the hypotenuse
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!