Question

The length of a rectangle is 5 centimeters more than its width. If the width is increased by 2 centimeters and the length is increased by 3 centimeters, a new rectangle is formed that has an area of 46 square centimeters more than the area of the original rectangle. Find the dimensions of the original rectangle.

Answer 1

W= 6 cm. L=11 cm.

Answer 2

Length (L): w + 5 ⇒(w + 5) + 3 = w + 8

width (w): w ⇒ (w) + 2 = w + 2

Area (A) = L x w

A = (w + 5)w

A = w² + 5w

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A + 46 = (w + 8)(w + 2)

(w² + 5w) + 46 = w² + 10w + 16

5w + 46 = 10w + 16

46 = 5w + 16

30 = 5w

6 = w

Length (L): w + 5 = (6) + 5 = 11

Answer: width = 6 cm, length = 11 cm