Question

Find the perimeter of the rectangle. Do not round.A)49 feetB) 48 feetC) 59 feetD) 52 feet

Answer 1

A) 49 feet

Step-by-step explanation

Step 1

find the x value:

the length of the rectangle is 16 ft, also the length is 4x+3, hence

`16=4x+3`

Let's solve for x

`\begin{gathered} 16=4x+3 \\ \text{subtract 3 in both sides} \\ 16-3=4x+3-3 \\ 13=4x \\ \text{divide both side by 4} \\ (13)/(4)=(4x)/(4) \\ x=(13)/(4) \end{gathered}`

Step 2

the perimeter of a rectangle isgiven by:

`\text{Perimeter= 2(length+width)}`

replace

`\begin{gathered} Perimeter=\text{ 2(16+(2x+2))} \\ Perimeter\text{= 2(18+2x)} \\ \text{Perimter}=\text{ 36+4x} \\ \text{replace the x value} \\ \text{Perimter}=\text{ 36+4}((13)/(4)) \\ \text{Perimter}=36+13=49 \\ \text{hence} \\ \text{Perimeter = 49 f}eet \end{gathered}`

therefore, the answer is

A) 49 feet

I hope this helps you