Question

The width of a rectangle is (3x + 1) in. The length of the rectangle istwice the width. Find the area of the rectangle in terms of the variable x

Answer 1

width = 3x + 1

As the length of the rectangle is twice the width then you need to multiply the width of the rectangle by 2, as follows:

2(3x + 1 ) = 6x + 2

To find an area of a rectangle you then need to multiply the width by the length:

Area = (3x + 1)(6x + 2)

= 18x² + 6x + 6x + 2

= (18x² + 12x + 2) in²