An oriental rug has an area of 448 square feet. Its length is 4 feet more than twice its width. Find the dimensions of the rug

Answer 1

Let the width = x, Let the length = 2x+4. Then. X(2x+4) = 448

Then. 2x^2 + 4x -448 = 0

Solving for x using the quadratic equation, we find x = - 16. Or 14. We discard -16!

then width x = 14. &. Length = 2x + 4 = 32

check: length x width = 14 x 32 = 448