1. 3
Solving Application Problems

2. R.1 Fractions
3.2 Problem Solving: Area
Objectives
Use the formula for area of a rectangle to find the area, the length, or the width.
Use the formula for area of a square to find the area or the length of one side.
Use the formula for area of a parallelogram to find the area, the base, or the height.
Solve application problems involving perimeter and area of rectangles, squares, or parallelograms.

3. Use the formula for area of a rectangle to find the area, the length, or the width.

4. Find the area of the rectangle.
Use the formula for area of a rectangle to find the area, the length, or the width.
Find the area of the rectangle.
Example

5. Use the formula for area of a rectangle to find the area, the length, or the width.
(continued)
Example
The area of the rectangle is 104 m2.

6. Find the area of a rectangle measuring 7 cm by 21 cm.
Use the formula for area of a rectangle to find the area, the length, or the width.
Find the area of a rectangle measuring 7 cm by 21 cm.
Example
Sketch the rectangle.
The area of the rectangle is 147 cm2.

7. Use the formula for area of a rectangle to find the area, the length, or the width.
If the area of a rectangular rug is 12 yd2 and the length is 4 yd, find the width.
Example
Sketch the rectangle.

8. Use the formula for area of a rectangle to find the area, the length, or the width.
(continued)
Example
The width of the rug is 3 yd.

9. Use the formula for area of a square to find the area or the length of one side.

10. Find the area of a square highway sign that is 4 ft on each side.
Use the formula for area of a square to find the area or the length of one side.
Find the area of a square highway sign that is 4 ft on each side.
Example
The area of the sign is 16 ft2.

11. Use the formula for area of a square to find the area or the length of one side.
If the area of a square township is 49 m2, what is the length of one side of the township?
Example
The length of one side of the township is 7 mi.

12. Use the formula for area of a parallelogram to find the area, the base, or the height.

13. Use the formula for area of a parallelogram to find the area, the base, or the height.

14. Find the area of the parallelogram.
Use the formula for area of a parallelogram to find the area, the base, or the height.
Find the area of the parallelogram.
Example
The area is 1128 m2.

15. Use the formula for area of a parallelogram to find the area, the base, or the height.
The area of a parallelogram is 24 ft and the base is 6 ft. Find the height.
Example
Sketch the parallelogram.

16. Use the formula for area of a parallelogram to find the area, the base, or the height.
(continued)
Example
The height is 4 ft.

17. Solve application problems involving perimeter and area of rectangles, squares, or parallelograms.
A group of neighbors is fixing up a playground for their children. The rectangular lot is 22 yd by 16 yd. If chain-link fencing costs $6 per yard, how much will they spend to put a fence around the lot?
Example
Sketch the rectangular lot.

18. Solve application problems involving perimeter and area of rectangles, squares, or parallelograms.
(continued)
Example
The neighbors need to buy 76 yd of fencing. The cost is $6 per yard, so the fencing will cost $6(76) = $456.