Find the dimensions of the rectangle meeting the specified condition.
The perimeter is 352 centimeters and the length is 4 centimeters greater than the width.

A)90 cm × 90 cm
B)90 cm × 86 cm
C)92 cm × 88 cm
D)94 cm × 90 cm
E)92 cm × 86 cm

Question

Find the dimensions of the rectangle meeting the specified condition. ​
The perimeter is 352 centimeters and the length is 4 centimeters greater than the width.
​
A)90 cm × 90 cm
B)90 cm × 86 cm
C)92 cm × 88 cm
D)94 cm × 90 cm
E)92 cm × 86 cm

Quizplus · Accepted Answer

The perimeter of a rectangle is given by the formula $2l + 2w$, where $l$ is the length and $w$ is the width. Given that the length is 4 cm greater than the width ($l = w + 4$), and the perimeter is 352 cm, we can set up the equation $2(w + 4) + 2w = 352$. Solving this equation for $w$ gives us $w = 86$ cm, and thus $l = 90$ cm, making the dimensions $90$ cm by $86$ cm.

Find the Dimensions of the Rectangle Meeting the Specified Condition