Solve the problem.
-The outside of a picture frame has a length which is 6 cm more than width. The area enclosed by the outside of the picture frame is 72 square cm. Find the width of the outside of the picture frame.
A) $18 \mathrm {~cm}$
B) $12 \mathrm {~cm}$
C) $6 \mathrm {~cm}$
D) $8 \mathrm {~cm}$

Question

Solve the problem.
-The outside of a picture frame has a length which is 6 cm more than width. The area enclosed by the outside of the picture frame is 72 square cm. Find the width of the outside of the picture frame. 
A) $18 \mathrm {~cm}$
B) $12 \mathrm {~cm}$
C) $6 \mathrm {~cm}$
D) $8 \mathrm {~cm}$

Quizplus · Accepted Answer

The area of a rectangle is given by the formula $A = l \times w$, where $l$ is the length and $w$ is the width. Given that the length is $6 \, \text{cm}$ more than the width, we can express the length as $l = w + 6$. The area is given as $72 \, \text{cm}^2$, so we have the equation $w(w + 6) = 72$. Solving this quadratic equation by either factoring or using the quadratic formula, we find that $w = 6 \, \text{cm}$ is the positive solution that makes sense in this context.

Solve the Problem 18 cm18 \mathrm {~cm}18 cm B) 12 cm12 \mathrm {~cm}12 cm C) 6 cm6 \mathrm {~cm}6 cm

Solve the Problem $18 \mathrm {~cm}$ B) $12 \mathrm {~cm}$ C) $6 \mathrm {~cm}$