The width of a rectangle is 6 inches less than it’s length, and the area is 7 square inches. What are the length and width of the rectangle

Accepted Solution

W is the width, L is the length.
W=L-6) because the width is 6 less than the length. Since area is LxW, this is represented by 7= L(L-6)
So 7 = L^2-6L and then subtract 7 to get the quadratic equation L^2-6L-7
And this factors out to (L-7)(L+1): L=7,-1 but length can’t be negative so the length is 7. To find the width you do (7-6) which is 1, so the length is 7 and the width is 1.