Word Problems : Perimeter Problem Solving Quiz

*Theme/Title: Perimeter Problem Solving
* Description/Instructions
The perimeter of any figure or shape is the sum of the lengths of its sides. An easy way to remember peRIMeter is "add the RIM." When solving perimeter using an unknown, this rule still applies; you're just solving for "x".


A rectangle with a perimeter of 42 inches has a width of 3 less than twice its length. Find the length and width of the rectangle. Note: The formula for the perimeter of a rectangle is 2l + 2w.

X is the length, which makes the width 2x - 3. Plug these expressions into the formula and set it equal to 42, the perimeter of the rectangle.

2(x) + 2(2x - 3) = 42

Use the distributive property: 2x + 4x - 6 = 42

Add 6 to both sides: 2x + 4x = 48

Combine like terms: 6x = 48

Solve for x: 8 inches.

So the length is 8 inches and the width is 2*8 - 3 = 13 inches.

For the following problems, you will need a pencil, scratch paper and a calculator. Be sure to sketch the description of the figure that is in each problem. Select the best answer from the choices.

Group: Algebra Algebra Quizzes
Topic: Word Problems

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