Question

The length of a rectangle is 4 less than twice the width. The perimeter of the rectangle is 106 cm. Determine the length of the rectangl

Answer 1

Length = 34

Explanation:

Perimeter of rectangle = a+a+b+b = 2(a+b)

Let a = length = 2b - 4

Let b = width

Therefore

(2b-4) + (2b-4) + b + b = 106 cm

Bracket off

2b-4+2b-4+b+b = 106cm

Collect like terms

2b+2b+b+b-4-4 = 106cm

6b-8 = 106

6b = 106+8

6b = 114

b = 114÷6

b = 19

To get a

2b - 4

2(19) - 4

38-4

= 34