A rectangle is 4cm longer than its wide, and its area is 117cm square. find its dimensions

rectangle-dimension

#1

a rectangle is 4cm longer than its wide, and its area is 117cm square. find its dimensions

Answer:

If we let W be width, then the first phrase means the L = W + 4

The area becomes 117 = L * W

Substituting, we get 117 = (W + 4) * W

Putting that into standard form

W² + 4W - 117 = 0

Factoring gives us

(W + 13)(W - 9) = 0

W = -13 or 9

But it can’t be negative, so

W = 9