Question

The length of a rectangle is 3 cm more than twice the width. The area of the rectangle is 65 square centimeters. Find the dimensions of the rectangle.

Answer 1

5 cm and 13 cm

Explanation:

Let b be the width of the rectangle.

Length = 3+2b

The area of the rectangle is 65 cm²

We need to find the dimensions of the rectangle. The area of a rectangle is given by :

A = lb

`65=(3+2b)b\\\\65=3b+2b^2\\\\3b+2b^2-65=0\\\\b=5\ cm,-6.5\ cm`

Neglecting the negative value, the width of the rectangle is 5 cm.

Length = 3+2b

=3+2(5)

=3+10

=13 cm

Hence, the dimensions of the rectangle are 5 cm and 13 cm.