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3 years ago

The perimeter of a rectangle is equal to 280 meters

Mathematics

1 answer:

Dima020 [189]3 years ago

7 0

Answer:

4000 m^2

Step-by-step explanation:

The perimeter of a rectangle is

P = 2(l+w)

We know the ratio of length to width is 5:2

Multiply by x

length is 5x and width is 2x

Substitute into the equation

280 = 2(5x+2x)

280 = 2(7x)

280 = 14x

Divide by 14

280/14 = 14x/14

20=x

The length is 5x =5*20 = 100

and the width is 2x =2*20 =40

We want to find the area

A = l*w = 100*40=4000 m^2

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