2. Chapter 3 Solving Application Problems
3.2 Problem Solving: Area
Chapter 3 Solving Application Problems

3. 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.
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4. Objective 1: Use the formula for area of a rectangle to find the area, the length, or the width.
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5. Find the area of the rectangle.
Objective 1: Use the formula for area of a rectangle to find the area, the length, or the width.
Find the area of the rectangle.
Example
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6. Objective 1: 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.
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7. Find the area of a rectangle measuring 7 cm by 21 cm.
Objective 1: 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.
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8. Objective 1: 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.
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9. Objective 1: 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.
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10. Objective 2: Use the formula for area of a square to find the area or the length of one side.
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11. Find the area of a square highway sign that is 4 ft on each side.
Objective 2: 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.
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12. Objective 2: 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.
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13. Objective 3: Use the formula for area of a parallelogram to find the area, the base, or the height.
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14. Objective 3: Use the formula for area of a parallelogram to find the area, the base, or the height.
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15. Find the area of the parallelogram.
Objective 3: 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.
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16. Objective 3: 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.
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17. Objective 3: Use the formula for area of a parallelogram to find the area, the base, or the height.
(continued)
Example
The height is 4 ft.
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18. Objective 4: 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.
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19. Objective 4: 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.
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