5-1 Perimeter and Area
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1 Find the perimeter and area of the rectangle. Write the formula for perimeter. Substitute 12 for the length and 2 for the width, then solve. The perimeter of the rectangle is 28 centimeters. Write the formula for area. Substitute 12 for the length and 2 for the width, then solve. The area of the rectangle is 24 square centimeters. The perimeter of a rectangle is 45 meters. Its width is 6 meters. What is the length of the rectangle? Write the formula for perimeter. Substitute 45 for the perimeter and 6 for the width, then solve. The width is 16.5 meters. CRAFTS Dena s mother is making a rectangular quilt. She has 117 squares and wants the quilt to be nine squares wide. How many squares will make up the length of the quilt? Write the formula for area. Substitute 117 for the area and 9 for the width, then solve. There will be 13 square along the length of the quilt. esolutions Manual - Powered by Cognero Page 1
2 Find the perimeter and area for each figure. Write the formula for perimeter. Substitute 7 for the length and 5 for the width, then solve. Write the formula for area. Substitute 7 for the length and 5 for the width, then solve. The perimeter of the rectangle is 24 feet, and the area is 35 square feet. Write the formula for perimeter. Substitute 8 for the length and 3 for the width, then solve. Write the formula for area. Substitute 8 for the length and 3 for the width, then solve. The perimeter of the rectangle is 22 centimeters, and the area is 24 square centimeters. esolutions Manual - Powered by Cognero Page 2
3 Write the formula for perimeter. Substitute 10, 10, and 12 for the side lengths, then solve. Write the formula for area. Substitute 12 for the base and 8 for the height, then solve. The perimeter of the triangle is 32 meters, and the area is 48 square meters. Write the formula for perimeter. Substitute 5, 12, and 13 for the side lengths, then solve. Write the formula for area. Substitute 12 for the base and 5 for the height, then solve. The perimeter of the triangle is 30 inches, and the area is 30 square inches. esolutions Manual - Powered by Cognero Page 3
4 A rectangle has a length of 16.3 meters and a perimeter of 80.6 meters. What is the width of the rectangle? Write the formula for perimeter. Substitute 80.6 for the perimeter and 16.3 for the length, then solve. The width of the rectangle is 24 meters. Find the third side of a triangle if the perimeter is Write the formula for perimeter. Substitute The third side length of the triangle is esolutions Manual - Powered by Cognero Page 4
5 PARKS The city park shown below has an area of 6889 square meters. The park s length along Front Street is 83 meters. Find the length of the park along Second Avenue. Write the formula for area. Substitute 6889 for the area and 83 for the height, then solve. The length of the part along Second Avenue is 166 meters. Find the missing dimension for each figure. Write the formula for area. Substitute 432 for the area and 36 for the length, then solve. The width of the rectangle is 12 centimeters. esolutions Manual - Powered by Cognero Page 5
6 Write the formula for area. Substitute 361 for the area and 19 for the width, then solve. The length of the rectangle is 19 feet. FOOD The circumference of a circle is the distance around the circle. It can be found by using the formula C 3.14d, where d represents the diameter. Find the circumference, in inches, of the world s largest pumpkin pie, which has a diameter of 14 feet. The circumference of the pumpkin pie is about inches. esolutions Manual - Powered by Cognero Page 6
7 GEOMETRY A trapezoid is a four-sided figure with exactly one set of parallel sides. a. The area of a trapezoid is one half the product of the height h and the sum of the two bases b 1 and b 2. Translate this relationship into a formula. Use the formula to find the area of each trapezoid shown below. b. c. a. The formula for the area of a trapezoid can be written as. b. Write the formula for the area of a trapezoid. Substitute 5 for the height, and 14 and 22 for the bases. The area of the trapezoid is 90 square centimeters. c. Write the formula for the area of a trapezoid. Substitute 14 for the height, and 4 and 21 for the bases. The area of the trapezoid is 175 square inches. esolutions Manual - Powered by Cognero Page 7
8 Solve for the indicated variable. Solve d = rt for r. Solve V = Ah for h. Solve 2p = s t for s. Solve r = st + p for p. Solve P = 2(l + w) for w. esolutions Manual - Powered by Cognero Page 8
9 Solve b. esolutions Manual - Powered by Cognero Page 9
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