Accelerated Geometry CC
Name: ____________________
Word Problem Practice
Date: _________ Block: ____
Directions: For each problem, draw and label a picture. Set up an equation and solve using any
method. You may need to work these problems on separate paper.
1. The length of a rectangle is 4 cm more than the width. If the length is increased by 8 cm and the
width is decreased by 4 cm, the area remains unchanged. Find the dimensions of the original
rectangle.
12 ft wide by 16 ft long
2. A strip of land of uniform width is mowed along both sides and both ends of a garden. The
dimensions of the mowed strip and the garden measure 120 ft by 90 ft. How wide is the mowed
strip if the garden has an area of 5400 ft2?
The mowed strip is 15 ft wide
3. The length of a rectangle is three times its width. If the length is increased by 27 in. and the width
decreased by 1 in. , the area is 117 in2. Find the original length and width.
Width = 4 in, length = 12 in.
4. If the sides of a square are lengthened by 3 m, the area becomes 81 m2. Find the length of a side
of the original square.
Side length = 6 m
5. The area of a square is 5 ft more than the perimeter. Find the length of a side.
Side length = 5 ft
6. An open rectangular gutter is made by turning up the sides of a piece of sheet metal that is 20 in.
wide. If the cross sectional area of the gutter is 13 in2, find the dimensions of the gutter.
9.3 in x 1.4 in (rounded from quadratic formula)
OR
.70 in by 18.6 in (rounded from quadratic formula)
Note: To see a good example, go to pg. 79, #32 in your text. There’s a nice picture with the cross
sectional area…
7. The total surface area of a box is 350 m2. The box is 9 m high and has a square base. Find the
length of the side of the base.
Side length = 7 m
16 2
t  vt  s where h is the high ( in
6
feet), v is the initial velocity ( in feet per second), t is the time (in seconds) and s is the initial
height ( in feet). On the moon, an astronaut tosses a baseball from a height of 64 feet with an
2
initial upward velocity of 23 feet per second. How long does it take the ball to reach the
3
ground?
11.05 seconds (rounded)
8. On the moon, the vertical motion model is given by h  