Chapter 3 Solving Application Problems

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Presentation transcript:

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

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. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Use the formula for area of a rectangle to find the area, the length, or the width. Copyright © 2010 Pearson Education, Inc. All rights reserved.

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 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 5

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. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 6

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. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 7

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. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 8

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. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 9

Objective 2: Use the formula for area of a square to find the area or the length of one side. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 10

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. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 11

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. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 12

Objective 3: Use the formula for area of a parallelogram to find the area, the base, or the height. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 13

Objective 3: Use the formula for area of a parallelogram to find the area, the base, or the height. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 14

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. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 15

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. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 16

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. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 17

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. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 18

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. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 19