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10.1 Area of Rectangles and Parallelograms I can find the area of rectangles and parallelograms Area Rap

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Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60 in. 54 cm

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The area of a figure is the amount of surface it covers. We measure area in square units.

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Find the area of the figure. A = lw The area is about 135 in 2. 15 in. 9 in.

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Find the area of the figure. A = lw The area is about 91 in 2. 13 in. 7 in.

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You can use the formula for the area of a rectangle to write a formula for the area of a parallelogram. Imagine cutting off the triangle drawn in the parallelogram and sliding it to the right to form a rectangle. The area of a parallelogram = bh. The area of a rectangle = lw. The base of the parallelogram is the length of the rectangle. The height of the parallelogram is the width of the rectangle.

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Find the area of the parallelogram. A = bh 2 ft 1 2 A = or 3 25 8 ___ 1 8 __ The area is 3 ft 2. 1 8 __ 1 4 1 ft

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Find the area of the parallelogram. A = bh A = or 5 21 4 ___ 1 4 __ The area is 5 ft 2. 1 4 __ 1 1 ft 2 1 3 ft 2

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Jessica is going to tile a kitchen that measures 13 ft by 17 ft. Some floor space is taken up by an island that measures 3 ft by 6 ft. How much area remains to be tiled in the kitchen? The area of the kitchen to be tiled is 203 ft 2.

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Miguel is going to landscape his backyard that measures 16 ft by 11 ft. Some of the backyard space is taken up by a built-in BBQ that measures 2 ft by 4 ft. How much area remains to be landscaped? The area of the backyard to be landscaped is 168 ft 2.

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Lesson Quiz Find the area of each figure. 1. 2. 3. What is the area of a parallelogram with base 16 in. and height 10 in.? 4. A square fish pond that is 6 ft long is surrounded by a square walk that is 18 ft long. What is the area covered by the walk? 41.4 m 2 48 ft 2 160 in 2 288 ft 2

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10.2 Area of Triangle and Trapezoids I can find the area of triangles and trapezoid

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You can divide any parallelogram into two congruent triangles. So the area of each triangle is half the area of the parallelogram.

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Find the area of the triangle. A = 1212 bh A = 120 The area is 120 ft 2.

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Find the area of the triangle. A = 1212 bh A = 360 The area is 360 in 2.

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Find the area of the trapezoid. A = 1212 h(b 1 + b 2 ) A = 98 The area is 98 cm 2. 12 cm 16 cm 7 cm

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Lesson Quiz Find the area of each triangle. 1. 3. 84 mi 2 2. 4. 39.9 cm 2 22.5 m 2 113 in 2 3434 Find the area of each trapezoid.

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