The length of the rectangle is x and the width is y. The area of a rectangle is x*y and the perimeter is 2(x + y)
Here we have area = 200
=> xy = 200
Perimeter = 60
=> 2(x + y) = 60
=> x + y =...
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The length of the rectangle is x and the width is y. The area of a rectangle is x*y and the perimeter is 2(x + y)
Here we have area = 200
=> xy = 200
Perimeter = 60
=> 2(x + y) = 60
=> x + y = 30
=> x = 30 - y
Substitute in xy = 200
(30 - y)y = 200
=> y^2 - 30y + 200 = 0
=> y^2 - 20y - 10y + 200 = 0
=> y(y - 20) - 10(y - 20) = 0
=> (y - 20)(y - 10) = 0
y = 20 or y = 10
As y is the width y = 10 and the length = 20.