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

**Related Pages**

More Lessons for Grade 9 Math

Math Worksheets

**Learn to write and solve polynomial equations for area of a rectangle**

Example: The length of a rectangle is 8 more than the width. Its area is 240 sq. ft. Write an equation for its area letting w be the width. Then solve the equation for w and also find the length.

**How to solve word problems involving area, area, perimeter, and quadratic equations?**

Examples:

- The perimeter of a rectangular concrete slab is 82 feet and its area is 364 square feet. What is the length of the longer side of the slab?
- The width of a rectangle is 2 inches less than its length. If the area of the rectangle is 99 square inches, what is its width?
- Two of the local ranches are bragging about their ability to use fencing sparingly. Bob says that he was once able to fence in a rectangular pasture of 12,400 square feet with only 440 feet of fencing. Susan says that she was once able to fence in a rectangular pasture of 16,700 square feet with only 520 feet of fencing. Which one is lying?

**Word Problems on Area**

Examples:

- The length of a page of a book is 2 cm greater than the width of the page. A book designer finds that the length is increased by 2 cm and the width is increased by 1 cm, the area of the page is increased by 19 cm
^{2}What are the dimensions of the original page? - A rectangular picture is 2 cm longer than it is wide. It is mounted in a frame 3 cm wide, The area of the frame is 168 sq. cm, Find the dimensions of the picture.
- A rectangular swimming pool is 4 m longer than it is wide. If a sidewalk 2 m wide is placed around the pool, the area covered by the pool and sidewalk is 192 sq. m greater than the area covered by the pool alone. Find the dimensions of the pool.

**Area Word Problems - Geometry Help**

How to solve word problems using the formulas for the area and perimeter of rectangles and squares?

Example: A rectangle is twice as long as it is wide. If the area of a rectangle is 98 cm^{2}, find its dimensions.

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