Question

A rectangle has an area of 1008

square feet. Its width is six feet less
than twice the length. Find the
measures of the length and width of
the rectangle.

Answer 1

9514 1404 393

Answer:

• length: 24 ft
• width: 42 ft

Explanation:

The area is the product of length and width. If L represents the length, then the width is (2L -6), and the area is ...

L(2L -6) = 1008

L² -3L -504 = 0 . . . . . divide by 2, put in standard form

(L -24)(L +21) = 0 . . . . factor

L = 24 . . . . makes the first factor zero

W = 2L -6 = 2(24) -6 = 42

The length of the rectangle is 24 feet; the width is 42 feet.