Question

A rectangle has a length of 26 yards less than 8 times it’s width. If the area of the rectangle is 682 square yards, find the length of the rectangle.

Answer 1

Length is 62 yards

Explanation:

A = wL

L = 8w-26

682 = w(8w-26)

682 = 8w^2 -26w

0 = 8w^2 - 26w - 682

Use the quadratic formula (it's really hard to type it but just look it up if you want to see the explanation)

w = 11

L = 8(11) - 26 = 62 yards

Check: 62(11) = 682