Question

If a rectangle has a length that is three times the width increased by 4. Find the dimensions of both the length and width if the

perimeter of the rectangle is 80 centimeters

Answer 1

Explanation:

Formula

The formula for perimeter is

P = 2L + 2w

Givens

Let the width = w

Length = 3w + 4

P = 80 cm

Solution

P = 2L + 2w

80 = 2(3w + 4) + 2w Remove the brackets

80 = 6w + 8 + 2w Combine

80 = 8w + 8 Subtract 8 from both sides

80-8 = 8w + 8-8 Combine

72 = 8w Divide both sides by 8

72/8 = 8w'8

9 = w

Answer

w = 9

L = 3*w + 4

L = 3*9 + 4

L = 31