Math Worksheet - Grade 7 Page 11
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34th
7
Grade Honors
Unit: Knowledge of Algebra, Patterns, and Functions
Objective: Apply given formulas to a problem-solving situation using formulas having no more than three variables.
Example 1:
The perimeter of a rectangle is twice the length (L) plus twice the width (W). P = 2L + 2W
Use the given formula to find the perimeter of the rectangle.
P = 2L + 2W
Write the equation
P = 2(10) + 2(8)
Replace L and W with the length and width
8 cm
P = 20 + 16
Multiply
P = 36 cm
Simplify and add the correct label
10 cm
Example 2:
A = π r
The area A of a circle equals the product of pi (π) and the square of its radius (r).
(π ≈ 3.14)
2
Use the given formula to find the area of the circle.
A = π r
r = 2 ft
Write the equation
2
Replace π with 3.14 and r with 2
A = 3.14
(2)
Ÿ
2
Ÿ
A = 3.14
4
Square the 2
Ÿ
A = 12.56 ft
Simplify and add the correct label
2
1.) The formula for finding the area of a rectangle is
2.) The formula for finding the area of a triangle is
A = L
W. Use this formula to find the area of the
1
Ÿ
A =
bh. Find the area of the triangle below.
rectangle.
2
9 cm
4 cm
3.) A trapezoid has two bases (b
and b
). The formula for
4.) The formula for finding the volume of a rectangular
1
2
finding the area of a trapezoid is:
prism is V = L
W
H. Find the volume of the box.
Ÿ
Ÿ
b
= 8 cm
1
L = 12 in.
Find the area of the trapezoid.
H = 7 in.
W = 5 in.
b
= 18 cm
2
5.) Margot planted a rectangular garden that was 18 feet
6.) Juan ran all the way around a circular track one time.
long and 10 feet wide. How many feet of fencing will she
The diameter (d) of the track is 60 meters. The formula for
need to go all the way around the garden? P = 2L + 2W
circumference of a circle is C = πd. Use this formula to find
out how far Juan ran.
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