Solve the problem.
-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 130 square cm. Find the width of the outside of the picture frame.
A) 16 cm
B) 10 cm
C) 13 cm
D) 11 cm

Question

Quizplus · Accepted Answer

The equation for the area of the rectangle is $ \text{length} \times \text{width} = \text{area} $. Given that the length is 3 cm more than the width, we can express the length as $ \text{width} + 3 $. Let $ w $ represent the width. The equation becomes $ (w + 3) \times w = 130 $. Simplifying, we get $ w^2 + 3w - 130 = 0 $. Factoring this quadratic equation, we find that $ w = 10 $ is the positive solution that makes sense in this context, as the width of a picture frame cannot be negative.

Solve the Problem. -The Outside of a Picture Frame Has a Length Which