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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Part Rectangle - Areas and Part Side Length to Full Side Length

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


The full rectangle's area is 84. The area that is filled in is 21. What is the length of the full side?

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

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Math worksheet on 'Area of a Part Rectangle - Areas and Part Side Length to Full Side Length (Level 1)'. Part of a broader unit on 'Area and Perimeter Logic - Intro' Learn online: app.mobius.academy/math/units/area_and_perimeter_geometry_logic_intro/
1
The full rectangle's area is 32. The area that is filled in is 24. What is the length of the full side?
An svg image showing a math problem
a
15
b
9
c
8
d
10
e
5
f
2
2
The full rectangle's area is 8. The area that is filled in is 4. What is the length of the full side?
An svg image showing a math problem
a
9
b
12
c
13
d
5
e
4
f
1
3
The full rectangle's area is 18. The area that is filled in is 9. What is the length of the full side?
An svg image showing a math problem
a
2
b
3
c
6
d
1
e
4
f
10
4
The full rectangle's area is 8. The area that is filled in is 4. What is the length of the full side?
An svg image showing a math problem
a
2
b
1
c
11
d
6
e
8
f
4
5
The full rectangle's area is 8. The area that is filled in is 4. What is the length of the full side?
An svg image showing a math problem
a
10
b
4
c
5
d
13
e
12
f
1
6
The full rectangle's area is 70. The area that is filled in is 35. What is the length of the full side?
An svg image showing a math problem
a
3
b
15
c
13
d
10
e
8
f
11
7
The full rectangle's area is 24. The area that is filled in is 12. What is the length of the full side?
An svg image showing a math problem
a
6
b
12
c
5
d
4
e
1
f
15