This math topic focuses on calculating the total area of rectangles given the area of a fractionally filled part. Each question provides the area of a rectangle section that represents a fraction (e.g., 1/4, 1/2, 2/4, 3/4) of the entire shape and requires calculating the area of the full rectangle based on this information. This challenges learners to apply concepts of area, decimal and fractional multiplication, and proportionality within a real-life context, and is part of an introductory unit on 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 - Part Area and Fraction to Full Area Worksheet

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Area of a Part Rectangle - Part Area and Fraction to Full Area
1
An svg image showing a math problem
The area of the 1/2 that is filled in is 16. What is the area of the full rectangle?
a
2
b
35
c
14
d
32
e
50
f
29
2
An svg image showing a math problem
The area of the 3/4 that is filled in is 81. What is the area of the full rectangle?
a
78
b
108
c
48
d
148
e
128
f
198
3
An svg image showing a math problem
The area of the 1/2 that is filled in is 4. What is the area of the full rectangle?
a
5
b
1
c
7
d
15
e
12
f
8
4
An svg image showing a math problem
The area of the 1/2 that is filled in is 16. What is the area of the full rectangle?
a
32
b
41
c
59
d
23
e
35
f
56
5
An svg image showing a math problem
The area of the 1/2 that is filled in is 9. What is the area of the full rectangle?
a
26
b
18
c
13
d
10
e
11
f
20
6
An svg image showing a math problem
The area of the 1/2 that is filled in is 9. What is the area of the full rectangle?
a
18
b
21
c
23
d
11
e
16
f
10
7
An svg image showing a math problem
The area of the 2/4 that is filled in is 42. What is the area of the full rectangle?
a
84
b
156
c
52
d
44
e
28
f
36
8
An svg image showing a math problem
The area of the 1/2 that is filled in is 24. What is the area of the full rectangle?
a
76
b
60
c
56
d
64
e
24
f
48