This math topic focuses on calculating the length of a part side of a rectangle based on the given areas of the entire rectangle and a specific part of it. It is intended to develop understanding of area concepts and proportional reasoning in the context of rectangles. The problems are set at an introductory level within a broader unit on area and perimeter logic. Each question presents a different scenario with a full rectangle's area and a partial area, asking for the length of the part side, offering multiple choice answers.

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 Full Side Length to Part Side Length Worksheet

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Area of a Part Rectangle - Areas and Full Side Length to Part Side Length
1
The full rectangle's area is 32. The area that is filled in is 16. What is the width of the part side?
An svg image showing a math problem
a
9
b
10
c
13
d
11
e
5
f
4
2
The full rectangle's area is 72. The area that is filled in is 36. What is the width of the part side?
An svg image showing a math problem
a
6
b
10
c
5
d
1
e
3
f
2
3
The full rectangle's area is 32. The area that is filled in is 16. What is the width of the part side?
An svg image showing a math problem
a
2
b
8
c
3
d
11
e
4
f
5
4
The full rectangle's area is 60. The area that is filled in is 30. What is the width of the part side?
An svg image showing a math problem
a
8
b
1
c
7
d
10
e
11
f
5
5
The full rectangle's area is 48. The area that is filled in is 24. What is the width of the part side?
An svg image showing a math problem
a
5
b
12
c
4
d
11
e
6
f
2
6
The full rectangle's area is 70. The area that is filled in is 35. What is the width of the part side?
An svg image showing a math problem
a
3
b
14
c
4
d
7
e
2
f
5
7
The full rectangle's area is 70. The area that is filled in is 35. What is the width of the part side?
An svg image showing a math problem
a
11
b
4
c
8
d
5
e
2
f
3
8
The full rectangle's area is 128. The area that is filled in is 32. What is the width of the part side?
An svg image showing a math problem
a
1
b
3
c
10
d
9
e
7
f
4