Question

Richard wants to make a garden with a perimeter of 16 feet, and length of 4 feet. He solves for the width by subtracting 8 from 16 and then dividing by 2. Create an equation that can be solved using these steps.

Answer 1

The equation that can be used to solve this is:

$P =2W+2L\\OR\\P-2L = 2W\\\frac{P-2L}{2} = W$

Further explanation:

Let

$P\ be\ the\ perimeter\\L\ be\ the\ width\\W\ be\ the\ width$

The equation for the perimeter will be:

$P =2W+2L$

Given

P = 16 feet

L = 4 feet

W = ?

Putting the values in the perimeter formula

$16=2(4)+2W\\16=8+2W\\16-8= 2L\\8=2L\\L=\frac{8}{2}\\L=4\ feet$

The equation that can be used to solve this is:

$P =2W+2L\\OR\\P-2L = 2W\\\frac{P-2L}{2} = W$

Keywords: Periemter of rectangle, linear equation

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