Q50. - Algebra 1

Question

GEOMETRY The rectangle has a perimeter of P centimeters. Which equation could be used to find the length l of the rectangle?

A. $P=2.4l$

B. $P=2.4+2l$

C. $P=4.8+l$

D. $P=4.8+2l$

Step-by-Step Solution

Answer

Option D. $P=4.8+2l$ is the correct choice.

Step 1. Use the definition of a rectangle’s perimeter.

For a rectangle perimeter is the sum of the lengths of all its sides, thus we add two lengths and two breadths to find the perimeter of the rectangle.

Step 2. Find the perimeter.

We are given that the length of a rectangle is l and its width is 2.4cm thus its perimeter can be calculated as:

$\begin{array}{l}P=2\left(length+breadth\right)\\ P=2\left(l+2.4\right)\\ P=2l+4.8\end{array}$

Thus, Option D. $P=2l+4.8$ is the correct choice.