Question

The perimeter of a rectangle is 12cm. The area is 5cm? What is the length of the sides?​

Answer 1

Answer:

Perimeter of a rectangle = 2(l+b)

Area of a rectangle = lb

Given , 2(l+b) = 12 cm

lb = 5cm =》l = 5/b cm

Hence 2(l+b) = 12cm =》l+b = 6cm =》5/b + b = 6cm

5 + b^2 = 6b =》b^2 - 6b + 5 = 0

b^2 - b - 5b + 5 = 0 =》b(b-1) - 5(b-1) = 0

(b-1)(b-5) = 0 =》b = 1 or b = 5

When b = 1 cm then l = 5 cm

When b = 5 cm then l = 1 cm

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