EXAMPLE 1 Finding Perimeter and Area SOLUTION Find the perimeter. P = 2l + 2w Write formula. = 2 ( 8...

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

Transcript of EXAMPLE 1 Finding Perimeter and Area SOLUTION Find the perimeter. P = 2l + 2w Write formula. = 2 ( 8...

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

EXAMPLE 1 Finding Perimeter and Area

SOLUTION

Find the perimeter.

P = 2l + 2w Write formula.

= 2 ( 8 ) + 2( 5 ) Substitute.

= 26 Multiply, then add.

Find the perimeter and area of the rectangle.

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

EXAMPLE 1 Finding Perimeter and Area

Find the area.

A = lw

= 40

Write formula.

Substitute.

Multiply.

ANSWER

The perimeter is 26 feet, and the area is 40 square feet.

( 8 )( 5 )=

Page 3: EXAMPLE 1 Finding Perimeter and Area SOLUTION Find the perimeter. P = 2l + 2w Write formula. = 2 ( 8 ) + 2( 5 ) Substitute. = 26 Multiply, then add. Find.

EXAMPLE 2 Finding Side Length

A = s2

81= s2

9 = s

Write formula for area of a square.

Substitute 81 for A.

Use mental math: 92 = 81.

ANSWER The side length of the square is 9 feet.

Find the side length of a square with an area of 81 square feet.

Page 4: EXAMPLE 1 Finding Perimeter and Area SOLUTION Find the perimeter. P = 2l + 2w Write formula. = 2 ( 8 ) + 2( 5 ) Substitute. = 26 Multiply, then add. Find.

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

= 132

Write distance formula.

Substitute 26.4 for r and 5 for t.

Multiply.

ANSWER The rabbit travels 132 feet in 5 seconds.

d = r t

= 26.4 5

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

GUIDED PRACTICE for Examples 1, 2 and 3

Find the perimeter and area of the figure.

1. rectangle: l = 25 in., w = 14 in.

P = 2l + 2w Write formula.

= 2 ( 25 ) + 2( 14 ) Substitute.

= 78 in. Multiply, then add.

SOLUTION

A = lw

= 350 in.2

Write formula.

Substitute.

Multiply.

( 25 )( 14 )=

Page 6: EXAMPLE 1 Finding Perimeter and Area SOLUTION Find the perimeter. P = 2l + 2w Write formula. = 2 ( 8 ) + 2( 5 ) Substitute. = 26 Multiply, then add. Find.

GUIDED PRACTICE for Examples 1, 2 and 3

Find the perimeter and area of the figure.

2. square: s = 7 in.

P = 2l + 2w Write formula.

= 2 ( 7) + 2( 7) Substitute.

= 28 in. Multiply, then add.

SOLUTION

A = lw

= 49 in.2

Write formula.

Substitute.

Multiply.

( 7 )( 7)=

Page 7: EXAMPLE 1 Finding Perimeter and Area SOLUTION Find the perimeter. P = 2l + 2w Write formula. = 2 ( 8 ) + 2( 5 ) Substitute. = 26 Multiply, then add. Find.

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

91= 13w

7 = w

Write formula for area of a rectangle.

Substitute 91 for A.

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

GUIDED PRACTICE for Examples 1, 2 and 3

Find the side length of the figure.

4. square: A = 100 yd2, s = ?

A = s2

100= s2

10 = s

Write formula for area of a square.

Substitute 100 for A.

Page 9: EXAMPLE 1 Finding Perimeter and Area SOLUTION Find the perimeter. P = 2l + 2w Write formula. = 2 ( 8 ) + 2( 5 ) Substitute. = 26 Multiply, then add. Find.

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

= 40 2

= 80

Write formula for distance.

Substitute 40 for speed and 2 for time.

ANSWER The car can travel 80 mi in 2 hours at a Rate of 40 mi/h