Basic Mathematics for College Students

(Nandana) #1
72.

Solve each problem.See Example 13.


  1. FLOORING A rectangular family room is 8 yards
    long and 5 yards wide. At $30 per square yard, how
    much will it cost to put down vinyl sheet flooring in
    the room? (Assume no waste.)

  2. CARPETING A rectangular living room measures
    10 yards by 6 yards. At $32 per square yard, how
    much will it cost to carpet the room? (Assume no
    waste.)

  3. FENCES A man wants to enclose a rectangular yard
    with fencing that costs $12.50 a foot, including
    installation. Find the cost of enclosing the yard if its
    dimensions are 110 ft by 85 ft.

  4. FRAMES Find the cost of framing a rectangular
    picture with dimensions of 24 inches by 30 inches if
    framing material costs $0.75 per inch.


TRY IT YOURSELF
Sketch and label each of the figures.


  1. Two different rectangles, each having a perimeter of
    40 in.

  2. Two different rectangles, each having an area of
    40 in.^2

  3. A square with an area of 25 m^2

  4. A square with a perimeter of 20 m

  5. A parallelogram with an area of 15 yd^2

  6. A triangle with an area of 20 ft^2

  7. A figure consisting of a combination of two
    rectangles, whose total area is 80 ft^2

  8. A figure consisting of a combination of a rectangle
    and a square, whose total area is 164 ft^2


Find the area of each parallelogram.
85.
4 cm 6 cm

15 cm

10 in.

6 in.

17 in.

A B

D C

AB || DC
AD || BC

86.


  1. The perimeter of an isosceles triangle is 80 meters. If
    the length of one of the congruent sides is 22 meters,
    how long is the base?

  2. The perimeter of a square is 35 yards. How long is a
    side of the square?

  3. The perimeter of an equilateral triangle is 85 feet.
    Find the length of each side.

  4. An isosceles triangle with congruent sides of length
    49.3 inches has a perimeter of 121.7 inches. Find the
    length of the base.
    Find the perimeter of the figure.








Find and. Then find the perimeter of the figure.
93.

94.

12.17 in.

11.35 in.4.52 in.

5.29 in.
10.41 in.

13.68 in.

x

x

y

9.1 ft

6.2 ft
x
y
5.4 ft

16.3 ft

x y

5 in.

1 in.

1 in. 1 in.

4 in. 4 in.

5 in.

2
in.

5 in.

6 m

6 m

10 m

4 m

4 m
2 m

2 m

6 m 7 m

10 m

790 Chapter 9 An Introduction to Geometry

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