The outside of a picture frame has a length which is 3 cm more than width. The area enclosed by the outside of the picture frame is 154 square cm. Find the width of the outside of the picture frame.
A) 11 cm
B) 12 cm
C) 14 cm
D) 17 cm

Question

Quizplus · Accepted Answer

The area of a rectangle is given by the formula length × width. Let the width be x cm. Then, the length is (x + 3) cm. The area is given as 154 cm², so we have the equation x(x + 3) = 154. Solving this quadratic equation, x² + 3x - 154 = 0, we find that x = 11 cm is the positive solution that makes sense in this context.

The Outside of a Picture Frame Has a Length Which