Question

The length of a rectangle is 3 less than twice the width. The perimeter is at least 210 cm. Find the smallest dimension of the rectangle.

Answer 1

x = width 
2x - 3 = length

2w + 2l = perimeter

2(x) + 2(2x - 3) = 210

2x + 4x - 6 = 210

6x - 6 = 210
6x = 216
x = 36

2(36) - 3 = y
72 - 3 = y
69 = y

width = 36 cm
length = 69 cm