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Area of Rectangles Word Problems

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Examples, videos, worksheets, solutions, and activities to help Algebra students learn how to solve word problems that involve area of rectangles.

How to solve a rectangle if you know its area?
Word Problem - Area of a Rectangle
This is a Word Problem you solve by writing an equation and factoring.
Example:
Use the information from the picture of a rectangle to find the length and width is its area is 54 sq. ft.
Area of a Rectangle - Change in Length and Its Affect on Area
This problem involves determining how a change in length affects the area of a rectangle. Take note that when you change the length, the width will be affected too.
Example:
A string is formed into a rectangle with an area of 12 cm2. If it is reshaped so that the 6 cm side is 2 cm shorter, how will the area change?



Area of Rectangles - Algebra Word Problems
Example:
The length of rectangle is 5 units more than twice its width. If the area is 250 sq. units the find the dimensions of the rectangle.
Writing quadratic equations to solve word problems: Area of a rectangle
Example:
The length of a rectangular field is 3 m more than the width. The area is 108 m2. Find the dimensions of the field.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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