This math topic focuses on finding the length of a side of a partially shaded rectangle, given the total area of the rectangle and the area of the shaded part. It introduces students to logical reasoning with geometrical shapes, involving area calculation and proportion. The problems are structured to identify the relationship between the total and partial areas to determine the dimensions of subsets of shapes, reinforcing foundational concepts in area and perimeter calculations within practical contexts. This prepares students for more complex geometry and spatial reasoning tasks.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
moreComplete these online problems with 80% or 4 correct answers in a row. Results are immediate.
The full rectangle's area is 50. The area that is filled in is 25. What is the length of the part side?
Earned ?
Math worksheet on 'Area of a Part Rectangle - Areas and Full Side Length to Part Side Length (Level 2)'. Part of a broader unit on 'Area and Perimeter Logic - Intro' Learn online: app.mobius.academy/math/units/area_and_perimeter_geometry_logic_intro/ |
The full rectangle's area is 24. The area that is filled in is 12. What is the length of the part side? |
10 |
2 |
7 |
9 |
1 |
3 |
The full rectangle's area is 24. The area that is filled in is 12. What is the length of the part side? |
6 |
4 |
7 |
2 |
12 |
3 |
The full rectangle's area is 128. The area that is filled in is 16. What is the length of the part side? |
7 |
6 |
1 |
5 |
2 |
8 |
The full rectangle's area is 128. The area that is filled in is 96. What is the length of the part side? |
12 |
13 |
9 |
8 |
15 |
17 |
The full rectangle's area is 72. The area that is filled in is 18. What is the length of the part side? |
2 |
7 |
3 |
6 |
1 |
12 |
The full rectangle's area is 40. The area that is filled in is 20. What is the length of the part side? |
5 |
6 |
2 |
9 |
4 |
13 |
The full rectangle's area is 128. The area that is filled in is 96. What is the length of the part side? |
18 |
12 |
11 |
5 |
13 |
16 |