Question

The perimeter of a garden is 40 feet. The length is two more than four times the width. Write a system of equations where x represents the width and y represents the length.

Answer 1

• 2(x+y) = 40
• y = 2 +4x

Explanation:

You want a system of equations for the width (x) and length (y) of a rectangle with a perimeter of 40 feet and length 2 more than 4 times the width.

Equations

One equation can give the relation for the perimeter:

2(x +y) = 40

The other can express the relation between width and length:

y = 2 +4x

Your system of equations is 2(x+y) = 40, and y = 2+4x.

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Additional comment

The solution is (x, y) = (3.6, 16.4) feet.