Let’s try another example from Geometry.

The length of a rectangular table cloth is equal to triple the width. Which system of equations can be used to find the dimensions of the table cloth if the perimeter is 75 centimeters?

A l = w + 3
2(l + w) = 75
C l = 3w
2(l + w) = 75
B l = 3w
2l + 6w = 75
D l = w + 3
2l + 6w = 75

Equation 1

The length of a rectangular table cloth is equal to triple the width.

Translate the sentence to an equation. Click the link below for the answer.

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l = 3wClose Pop Up


Equation 2

Which system of equations can be used to find the dimensions of the table cloth if the perimeter is 75 centimeters?

Translate the sentence to an equation. You need to use the formula for the perimeter of a rectangle. There are two equivalent formulas. P = 2(l + w) and P = 2l + 2w. If you look at the answer choices, the writer of this question used P = 2(l + w).

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2(l + w) = 75Close Pop Up

The correct answer is C.

If you need additional practice problems, click on the following to work through two additional examples.

Additional Problems