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