This math topic focuses on calculating the full side length of a rectangle when given both the full and partial areas of the rectangle. It is part of an introductory series on area and perimeter logic, teaching students to deduce side lengths from area measurements. The problems assume the student has an understanding of how areas are computed and involve identifying correct side lengths from a set of options. The exercises likely improve logical reasoning and geometry skills by connecting partial area knowledge to complete geometric attributes.

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 128. The area that is filled in is 96. What is the width of the full side?
An svg image showing a math problem
a
18
b
16
c
6
d
10
e
21
f
17
2
The full rectangle's area is 40. The area that is filled in is 20. What is the width of the full side?
An svg image showing a math problem
a
12
b
10
c
8
d
17
e
3
f
7
3
The full rectangle's area is 105. The area that is filled in is 42. What is the width of the full side?
An svg image showing a math problem
a
23
b
24
c
17
d
13
e
15
f
6
4
The full rectangle's area is 80. The area that is filled in is 16. What is the width of the full side?
An svg image showing a math problem
a
10
b
6
c
13
d
1
e
16
f
4
5
The full rectangle's area is 96. The area that is filled in is 24. What is the width of the full side?
An svg image showing a math problem
a
20
b
3
c
8
d
9
e
12
f
10
6
The full rectangle's area is 72. The area that is filled in is 18. What is the width of the full side?
An svg image showing a math problem
a
12
b
4
c
17
d
21
e
5
f
19
7
The full rectangle's area is 128. The area that is filled in is 16. What is the width of the full side?
An svg image showing a math problem
a
23
b
9
c
12
d
17
e
13
f
16
8
The full rectangle's area is 70. The area that is filled in is 42. What is the width of the full side?
An svg image showing a math problem
a
4
b
14
c
3
d
1
e
10
f
6