A rectangles length is 2 yards less than 4 times of it’s width, if the rectangles perimeter must be between 46 and 76 yards what is the range of it’s width?

Answer 1

length = 4*width-2 (in yards)

width = w (in yards)

Perimeter = 2*length + 2*width = 2*(4*width-2) + 2*w

On the low side: P = 46.

Solve for width: 2*(4*w-2)+2*w = 46; 8w-4+2w=46

10w=50

w=5 yards

On the high side: P=76

Solve for width: 2*(4*w-2)+2w=76; 8w -4+2w=76

10w=80

w=8

The range of width is from 5 to 8 yards.