Finding Perimeter and Area

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Presentation transcript:

Finding Perimeter and Area EXAMPLE 1 Finding Perimeter and Area Find the perimeter and area of the rectangle. SOLUTION Find the perimeter. P = 2l + 2w Write formula. = 2 ( 8 ) + 2( 5 ) Substitute. = 26 Multiply, then add.

Finding Perimeter and Area EXAMPLE 1 Finding Perimeter and Area Find the area. A = lw Write formula. ( 8 )( 5 ) = Substitute. = 40 Multiply. ANSWER The perimeter is 26 feet, and the area is 40 square feet.

Find the side length of a square with an area of 81 square feet. EXAMPLE 2 Finding Side Length Find the side length of a square with an area of 81 square feet. A = s2 Write formula for area of a square. 81= s2 Substitute 81 for A. 9 = s Use mental math: 92 = 81. ANSWER The side length of the square is 9 feet.

Using the Distance Formula EXAMPLE 3 Using the Distance Formula Rabbits A rabbit is running at a rate of 26.4 feet per second. How far does the rabbit travel in 5 seconds? SOLUTION d = r t Write distance formula. = 26.4 5 Substitute 26.4 for r and 5 for t. = 132 Multiply. ANSWER The rabbit travels 132 feet in 5 seconds.

Find the perimeter and area of the figure. GUIDED PRACTICE for Examples 1, 2 and 3 Find the perimeter and area of the figure. 1. rectangle: l = 25 in., w = 14 in. SOLUTION P = 2l + 2w Write formula. = 2 ( 25 ) + 2( 14 ) Substitute. = 78 in. Multiply, then add. A = lw Write formula. ( 25 )( 14 ) = Substitute. = 350 in.2 Multiply.

Find the perimeter and area of the figure. GUIDED PRACTICE for Examples 1, 2 and 3 Find the perimeter and area of the figure. 2. square: s = 7 in. SOLUTION P = 2l + 2w Write formula. = 2 ( 7) + 2( 7) Substitute. = 28 in. Multiply, then add. A = lw Write formula. ( 7 )( 7) = Substitute. = 49 in.2 Multiply.

Find the side length of the figure. GUIDED PRACTICE for Examples 1, 2 and 3 Find the side length of the figure. 3. rectangle: A = 91 cm2, l = 13 cm, w = ? A = lw Write formula for area of a rectangle. 91= 13w Substitute 91 for A. 7 = w

Find the side length of the figure. GUIDED PRACTICE for Examples 1, 2 and 3 Find the side length of the figure. 4. square: A = 100 yd2, s = ? A = s2 Write formula for area of a square. 100= s2 Substitute 100 for A. 10 = s

5. Distance How far does a car travel in 2 hours at a GUIDED PRACTICE for Examples 1, 2 and 3 5. Distance How far does a car travel in 2 hours at a rate of 40 mi/h? D = st Write formula for distance. = 40 2 Substitute 40 for speed and 2 for time. = 80 ANSWER The car can travel 80 mi in 2 hours at a Rate of 40 mi/h

Standardized Test Practice EXAMPLE 4 Standardized Test Practice SOLUTION t = d r Write distance formula. 264 22 = Substitute 264 for d and 22 for r. = 12 Divide. ANSWER It will take a rabbit 12 seconds to travel 264 feet. The correct answer is B.

6. Running Speeds How fast is a rabbit running if GUIDED PRACTICE for Example 4 6. Running Speeds How fast is a rabbit running if it travels 192 feet in 8 seconds? SOLUTION t = d r Write distance formula. 192 8 = Substitute 192 for d and 8 for r. = 24 Divide. ANSWER The rabbit is running 24 feet per second.