Question

A rectangle has a perimeter of 116 centimeters and a length of 26 centimeters. What is the width of the rectangle?A. Find the width of the rectangle and include all of your work.B. In two or more complete sentences, explain your steps in finding the width of the rectangle.

Answer 1

Width= 32 centimeters

Step-by-step explanation

Step 1

Let

Width=unknown value= W

Length=L=26 centimeters

Perimeter(is the distance around the edge of a shape)= 2L+2W( two purple line+two green line),then

P=2L+2W

Step 2

find w using L= 26 and P=116 in the equation for the perimeter

`\begin{gathered} P=2L+2W \\ 116=2\cdot26+2W \\ 116=52+2W \\ \text{subtract 52 in both sides} \\ 116-52=52+2W-52 \\ 64=2W \\ \text{divide both sides by 2 } \\ (64)/(2)=(2W)/(2) \\ 32=W \end{gathered}`

so, the width is 32 centimeters.

I hope this helps you.