Question

The area of a rectangle is 96 in.2. The length of the rectangle is 8 inches. Find the perimeter of the rectangle. Show all work for full credit.

Answer 1

To find the area of a rectangle, you use this equation/formula:

A = l x w

Since you know the area and the length, you can plug it into the equation:

A = l x w                         [A = 96 in²         l = 8 in]

96 = 8 x w

$\frac{96}{8} =\frac{8xw}{8}$To find the width, you divide 8 on both sides

12 = w

The width is 12 inches

To find the perimeter of a rectangle, you add all of the sides together:

P = l + l + w + w      or      P = 2l + 2w

Since you know the length and width, you can plug it in:

P = 2l + 2w

P = 2(8) + 2(12)

P = 16 + 24

P = 40 in