# Algebra Word Problems - Rectangles, Perimeter, Consecutive Integers

Worksheet (Algebra)

## Algebra Word Problems - Rectangles, Perimeter, Consecutive Integers Worksheet

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Algebra

Rectangle and Consecutive Integer Problems

1. The length of a rectangle is 3 in. more than its width. The perimeter of the rectangle is 30 in. What are the width and length of the rectangle?

a. Using a let statement, define a variable for the width of the rectangle. Then write an expression for the length in terms of the width.

b. Draw a diagram of this rectangle.

c. Using the perimeter formula, P = 2l + 2w, write an equation to determine the width and length of this rectangle. Solve your equation.

d. What is the length and width of this rectangle?

2. The length of a rectangle is 8 in. more than its width. The perimeter of the rectangle is 24 in. What are the width and length of the rectangle?

4. The sum of three consecutive integers is 915. Define your variables. Then write and solve and equation to find the three consecutive integers. Check your answer.

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