Determine a missing dimension given the area and one dimension
Objectives
Student will be able to:
draw a diagram for a given situation.
calculate a missing dimension given the area and one dimension of a rectangle.
Introduction
What is the length of a rectangle with a total area of 2,100 square inches and a width of 30 inches?
Draw a diagram of the rectangle.
Substitute the given values into the equation to find the length and solve.
The length of the rectangle is 70 inches.
Exercises
Draw a diagram and find the missing measure. Show all work.
1.
A rectangle has an area of 42 square inches and a length of 7 inches. What is the width of the rectangle?
The width of the rectangle is 6 inches.
Check student's diagram.
Check student's work.
1
.
Correct
Incorrect
Not Assigned
2.
The width of a rectangle is 9 feet. The total area of the rectangle is 108 square feet. What is the length of the rectangle?
The length of the rectangle is 12 feet.
Check student's diagram.
Check student's work.
2
.
Correct
Incorrect
Not Assigned
3.
What is the length of a rectangle with a total area of 120 square cm and a width of 8 cm?
The length of the rectangle is 15 cm.
Check student's diagram.
Check student's work.
3
.
Correct
Incorrect
Not Assigned
4.
The length of a rectangle is 45 inches. The total area of the rectangle is 225 square inches. What is the width of the rectangle?
The width of the rectangle is 5 inches.
Check student's diagram.
Check student's work.
4
.
Correct
Incorrect
Not Assigned
5.
A rectangle with a total area of 63 square meters has a width of 7 m. What is the length of the rectangle?
The length of the rectangle is 9 m.
Check student's diagram.
Check student's work.
5
.
Correct
Incorrect
Not Assigned
Given the total area of a rectangle and one dimension, choose the missing dimension. Draw a diagram to help.
6.
Total area:
Length:8 cm
What is the width?
a.
7 cm
b.
48 cm
c.
64 cm
d.
448 cm
a. 7 cm
6
.
Correct
Incorrect
Not Assigned
7.
Total area: 225 square cm
Width:15 cm
What is the length?
a.
5 cm
b.
15 cm
c.
75 cm
d.
210 cm
b. 15 cm
7
.
Correct
Incorrect
Not Assigned
8.
Total area: 99 square meters
Width: 9 meters
What is the length?
a.
9 meters
b.
11 meters
c.
90 meters
d.
891 meters
b. 11 meters
8
.
Correct
Incorrect
Not Assigned
9.
Total area:
Length: 8 ft
a.
256 ft
b.
40 ft
c.
24 ft
d.
4 ft
d. 4 ft
9
.
Correct
Incorrect
Not Assigned
10.
Total area: 16 square inches
Width: 2 inches
a.
32 inches
b.
14 inches
c.
8 inches
d.
4 inches
c. 8 inches
10
.
Correct
Incorrect
Not Assigned