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?
Answers
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!
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 =
X = 1.25
To determine the area, the formula for area is (A = W x L)
A = X x (4X)
A =
A = 4 x
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
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