Question

the width of a rectangle is 15 units less than the length. if the area is 76 square units, then find the dimensions of the rectangle

Answer 1

W = L - 15
WL = 76

(L-15)L = 76

L^2 - 15L - 76 = 0
(L-19)(L+4) = 0

L = 19 or -4
Since a length cannot be negative, the length must be 19 units.
The width is 19-15=4 units.