4.9 Area Problems

1. 4.9 Area Problems • Objective: To solve some problems involving area. • Warm – up:Find the area of each shaded region. 8 10 4 8 6 1 6 2

2. 4.9 Area Problems Solve. A rectangle is twice as long as it is wide. If its length is decreased by 4 and its width is decreased by 2, its area is decreased by 24. Find its original dimensions. • A rectangle is 3 times as long as it is wide. If the length is increased by 6 and the width is increased by 8m the area is increased by 108. Find the original dimensions.

3. 4.9 Area Problems Solve. 2 8 • A photograph 8 in. wide and 10 in. long is surrounded by a border 2 in. wide. To find the area of the border, you subtract the areas of the rectangles. • Area of = Area of – Area ofborder outer inner 10 2 2 2

4. 4.9 Area Problems Solve. • Hector Herrera made a rectangular fish pond surrounded by a brick walk 2 m wide. He had enough bricks for the area of the walk to be 76 m2. Find the dimensions of the pond if it is twice as long as it is wide. • Area of = Area of – Area ofborder outer inner 2 2x x+4 x 2 2 2 2x+4

5. 4.9 Area Problems • Homework: • Pg. 173Written Exercises #1 – 7 odd