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Natalija [7]
3 years ago
11

If the perimeter of a rectangle is 75 meters, and the length is 1.5 times the

Mathematics
2 answers:
Stells [14]3 years ago
7 0
The final choice is the correct answer

P = 2 ( L + W )
75 = 2 ( L + W )
37.5 = L + W
37.5 = 1.5W + W
37.5 = 2.5 W
W = 37.5 ÷ 2.5 = 15 m

∵ L = 1.5 W
∴ L = 1.5 x 15 = 22.5 m

A = L W = 15 x 22.5 = 337.5 m²
Karolina [17]3 years ago
3 0

We know that the perimeter of a rectangle is equal to 2(width) plus 2(length). Then, we can say that the width is equal to x and the length is equal to 1.5x.

Let's solve for x.

75 = 2(x) + 2(1.5x)

75 = 2x + 3x

75 = 5x

x = 15 meters

Let's now find the length and width.

width = x = 15

length = 1.5x = 22.5

Now that we have the length and width, we can find the area. The formula for the area of a rectangle is length x width.

A = 15 x 22.5

A = 337.50 square meters

Hope this helps! :)

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