Solve the problem.
-The perimeter of a rectangle is 50 cm. The length is 11 cm longer than the width. What are the length and width of the rectangle?
A) Length: 11 cm; width: 7 cm
B) Length: 25 cm; width: 14 cm
C) Length: 18 cm; width: 7 cm
D) Length: 21 cm; width: 10 cm

Question

Quizplus · Accepted Answer

The perimeter of a rectangle is given by the formula $2l + 2w = P$, where $l$ is the length, $w$ is the width, and $P$ is the perimeter. Given that the length is 11 cm longer than the width ($l = w + 11$), and the perimeter is 50 cm, we can set up the equation $2(w + 11) + 2w = 50$. Simplifying, we get $4w + 22 = 50$, and solving for $w$ gives $w = 7$ cm. Substituting back, $l = 7 + 11 = 18$ cm.

Solve the Problem. -The Perimeter of a Rectangle Is 50 Cm. the Length