How do you calculate the area of squares and rectangles?

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Presentation transcript:

How do you calculate the area of squares and rectangles? 8.3 ESSENTIAL QUESTION How do you calculate the area of squares and rectangles?

Vocabulary Area: The amount of surface covered by a figure

Find the area of the square. Example 1 Find the Area of a Square Find the area of the square. SOLUTION Use the formula for the area of a square and substitute 9 for s. A = s2 Formula for the area of a square = 92 Substitute 9 for s. = 81 Simplify. The area of the square is 81 square feet. ANSWER

Find the area of the rectangular pool. Example 2 Find the Area of a Rectangle Find the area of the rectangular pool. Use the formula for the area of a rectangle. Substitute 24 for b and 16 for h. SOLUTION A = bh Formula for the area of a rectangle = 24 · 16 Substitute 24 for b and 16 for h. = 384 Multiply. The area of the pool is 384 square feet. ANSWER

The rectangle has an area of 54 square inches. Find its height. Example 3 Find the Height of a Rectangle The rectangle has an area of 54 square inches. Find its height. Use the formula for the area of a rectangle and substitute 54 for A and 9 for b. SOLUTION A = bh Formula for the area of a rectangle 54 = 9h Substitute 54 for A and 9 for b. 6 = h Divide each side by 9. The height of the rectangle is 6 inches. ANSWER

Find the dimensions of rectangles A and B. Example 4 Divide a Complex Polygon into Rectangles Find the dimensions of rectangles A and B. 8

Find the dimensions of rectangles A and B. Example 4 Divide a Complex Polygon into Rectangles Find the dimensions of rectangles A and B. SOLUTION Rectangle A The base is 5 units. Because rectangle B is 2 units taller than rectangle A, the height of rectangle A is 7 – 2 = 5 units. Rectangle B The height is 7 units. The base of rectangle B is the total of both bases minus the base of rectangle A, or 9 – 5 = 4 units. 9

Area = Area of A + Area of B Area = 53 units squared

Find the area of the polygon made up of rectangles. Checkpoint Polygons Made Up of Rectangles Find the area of the polygon made up of rectangles. 5. 11

Find the area of the polygon made up of rectangles. Checkpoint Polygons Made Up of Rectangles Find the area of the polygon made up of rectangles. 6. ANSWER 54 m2 12

Worksheet 8.3A