A rectangle has a length of 16 yards less than 10 times it’s width if the area of the rectangle is 1736 yd.² yards find the length of a rectangle

Answer 1

l = 10w - 16

A = 1736 yd^2 = lw

Substitute:

1736 = (10w - 16)w

1736 = 10w^2 - 16w

10w^2 - 16w - 1736 = 0

5w^2 - 6w - 868 = 0

w = 13.8 (Ignore negative root. I used the quadratic.)

l = 122