This math topic focuses on calculating the length of sides of rectangles by using given areas of the full rectangle and partial areas within it. The problems require understanding the relationship between area and dimensions and include numerical answer choices for each problem. The topic serves as an introduction to broader concepts of area and perimeter logic.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Area of a Part Rectangle - Areas and Part Side Length to Full Side Length Worksheet

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Area of a Part Rectangle - Areas and Part Side Length to Full Side Length
1
The full rectangle's area is 108. The area that is filled in is 81. What is the width of the full side?
An svg image showing a math problem
a
9
b
5
c
2
d
12
e
14
f
17
2
The full rectangle's area is 32. The area that is filled in is 16. What is the width of the full side?
An svg image showing a math problem
a
4
b
10
c
13
d
15
e
8
f
9
3
The full rectangle's area is 60. The area that is filled in is 30. What is the width of the full side?
An svg image showing a math problem
a
10
b
18
c
6
d
19
e
13
f
9
4
The full rectangle's area is 108. The area that is filled in is 54. What is the width of the full side?
An svg image showing a math problem
a
14
b
15
c
6
d
18
e
21
f
12
5
The full rectangle's area is 32. The area that is filled in is 16. What is the width of the full side?
An svg image showing a math problem
a
6
b
10
c
8
d
12
e
2
f
11
6
The full rectangle's area is 128. The area that is filled in is 64. What is the width of the full side?
An svg image showing a math problem
a
16
b
8
c
17
d
12
e
24
f
20
7
The full rectangle's area is 96. The area that is filled in is 72. What is the width of the full side?
An svg image showing a math problem
a
10
b
12
c
16
d
2
e
21
f
4
8
The full rectangle's area is 84. The area that is filled in is 63. What is the width of the full side?
An svg image showing a math problem
a
20
b
13
c
11
d
2
e
3
f
12