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
