Question

a park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park?

Answer 1

So, first, what are the two sides?

let's call then x and y

we know that 2(x+y)=12.5 (that's the distance around)

so that means that x+y=6.25 (I just divided both by 2)

now, x=4y (from "4 times as long as it is wide")

so we can substitute:

x+4x=6.25

5x=6.25

x=1.25

so one side, is 1.25 and the other will be 1.25*4=5

and for the area we multiply the two:

1.25*5=6.25 square kilometers, and this is the answer!

Answer 2

The Area of the park is 6.25 square kilometers.

• Let the wide = X
• The length = 4X (the length is 4 times long as it is wide)

Further Explanation

Therefore, we should have:

To determine the perimeter of the rectangle = 2 x (length + wide)

P = 2 (L + W)

P = 2L + 2W

Recall the distance around the park is 12.5,

Hence,

= 12.5 = 2 (4x) + 2 (x)

= 12.5 = 8x + 2x

= 12.5 = 10x

X = $\frac{12.5}{10}$

X = 1.25

To determine the area, the formula for area is (A = W x L )

A = X x (4X)

A = $4X^{2}$

A = 4 x $(1.25)^{2}$

A = 4 x (1.25 x 1.25)

A = 4 x 1.5625

A = 6.25 square kilometers

Thus, the area of the park is 6.25 square kilometers.  

LEARN MORE:

• A park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park brainly.com/question/768779
• A park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park  brainly.com/question/286278

KEYWORDS:

• square kilometers
• a park is 4 times
• wide
• area of a rectangle
• perimeter of a rectangle
• area of the park