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Algebra
NAME ___________________________
WP-2
DATE _______________________
WORD PROBLEMS INVOLVING GEOMETRY
HOMEWORK #1
Solve each of the following word problems. Show the following steps:
1)
3)
LET statement
Solving of the equation
1)
The lengths of the sides of a triangle are in the ratio 3:4:5. The perimeter of the
triangle is 24 in. Find the length of each side.
2)
In an isosceles triangle, the length of the base is 85 cm and the perimeter is 345
cm. What is the length of each leg?
MCD/LPG/MPH 11/12
2)
4)
Equation
Answer in sentence form
1
Algebra
3)
The longest side of a triangle is twice as long as the shortest side, and the remaining
side is 25 cm. If the perimeter is 70 cm, find the lengths of the sides of the
triangle.
4)
In a triangle, the length of the first side is 9 cm shorter than the second. The third
side is 3 cm longer than the second side. If the perimeter of the triangle is 48 cm,
find the lengths of the three sides.
5)
The lengths of the sides of a triangle are in the ratio 3:5:6. The perimeter of the
triangle is 210 cm. Find the length of each side of the triangle.
MCD/LPG/MPH 11/12
2
Algebra
NAME ___________________________
WP-2
DATE _______________________
WORD PROBLEMS INVOLVING GEOMETRY
HOMEWORK #2
Solve each of the following word problems. Show the following steps:
1)
3)
LET statement
Solving of the equation
1)
The measures of the angles of a triangle are in the ratio 1:2:3. Find the measures of
each angle.
2)
In a triangle, the measure of the first angle is twice as large as the measure of the
second angle. The third angle is 16 smaller than the second angle. Find the measure
of each angle.
MCD/LPG/MPH 11/12
2)
4)
Equation
Answer in sentence form
3
Algebra
3)
The measures of two angles in a triangle are in the ratio of 1:2. The third angle is
54 . What are the measures of the two angles?
4)
The measure of the second angle in a triangle is twice the first angle. The measure
of the third angle is the same as the measure of the second angle increased by 15.
Find the measures of each angle.
5)
The measures of the angles of a triangle are in the ratio 2:3:5. Find the measures
of each angle.
MCD/LPG/MPH 11/12
4
Algebra
NAME ___________________________
WP-2
DATE _______________________
WORD PROBLEMS INVOLVING GEOMETRY
HOMEWORK #3
Solve each of the following word problems. Show the following steps:
1)
3)
LET statement
Solving of the equation
1)
A rectangle’s length is 8 cm more than three times its width. If the perimeter is
128 cm, find the length and the width.
2)
The width of a rectangle is 15 cm less than the length. The perimeter is 98 cm.
Find the rectangle’s dimensions.
MCD/LPG/MPH 11/12
2)
4)
Equation
Answer in sentence form
5
Algebra
3)
The perimeter of a rectangle is 96 ft. Find the dimensions of the rectangle if the
ratio of the length to the width is 7:5.
4)
The length of a rectangle is 35 m more than three times its width. Its perimeter is
390 m. Find its dimensions.
5)
The width and length of a rectangle are in the ratio 7:4. If the perimeter is 66 in,
find the length and the width.
MCD/LPG/MPH 11/12
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