Question

The length of a rectangle is 5 cm more than its width and the area is 50cm${}^2$. Find the length.

• A. 5 cm
• B. 7 cm
• C. 10 cm
• D. 25 cm

Answer 1

The correct option is C

10 cm

Let the width be x. Then the length = x + 5. x(x + 5) = 50 x${}^2$ + 5x = 50 -50 =$>$ x${}^2$ + 5x - 50 = 0 (x + 10)(x -5) =0 (x + 10) = 0 or (x -5) =0 x = -10 or x = 5 - x = -10 is impossible to be a width Width = 5cm; so, the length = 10cm.