Applications and equations

Algebra
Tutor: None Selected Time limit: 1 Day

A garden is 38 feet longer than it is wide. Its perimeter is 288 feet.Write a linear equation whose solution shows the length and width of the garden.

The ordered pair needs to be in the format of (L,W)

Sep 11th, 2015

Thank you for the opportunity to help you with your question! Hope your day is going well!

Let's write what we know.

Equation for perimeter is

2W+2L=P

Our Perimeter=288 ft

We know that the Length is 38 feet longer than the width

Let's call Length=L and call Width=W

Then L=38+W

And W=W

Let's substitute these variables into our perimeter equation

2W+2(38+W)=288

2W+76+2W=288

4W+76=288

4W=212

W=53ft

Thus our width is 53.

Substitute W=53 into L=38+W

L=38+53=91ft.

Thus the Length  91 ft.

Our order pair (L,W) is then (91,53)

If you wanted to check your work, simplify use the perimeter equation

91(2)+53(2)=288



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Sep 11th, 2015

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