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Cartesian Grid - Area (Rectangle) to Missing Coordinate - Positive Only (Level 2)

This math topic focuses on applying knowledge of Cartesian grids, geometry, and arithmetic to find missing coordinates in rectangles based only on the area given, under the constraints of positive coordinate values. Students practice determining missing side lengths (coordinates) when provided the rectangle's area in a variety of problem setups. The exercises challenge students to solve for missing values using logical reasoning and basic principles of rectangle area calculation, enhancing their spatial and numerical understanding within a Cartesian coordinate system.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Area (Rectangle) to Missing Coordinate - Positive Only

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


Find the missing value for x if the rectangle has an area of 42

yxArea = 42(1,1)(x,1)(x,8)(1,8)

Cartesian Grid - Area (Rectangle) to Missing Coordinate - Positive Only Worksheet

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Math worksheet on 'Cartesian Grid - Area (Rectangle) to Missing Coordinate - Positive Only (Level 2)'. Part of a broader unit on 'Cartesian Grid Geometry Logic - Practice' Learn online: app.mobius.academy/math/units/cartesian_grid_geometry_logic_practice/
1
An svg image showing a math problem
Find the missing value for x if the rectangle has an area of 48
a
3
b
9
c
17
d
18
e
16
f
4
2
An svg image showing a math problem
Find the missing value for y if the rectangle has an area of 56
a
1
b
-4
c
-5
d
-9
e
-6
f
8
3
An svg image showing a math problem
Find the missing value for y if the rectangle has an area of 42
a
0
b
-7
c
9
d
7
e
2
f
1
4
An svg image showing a math problem
Find the missing value for y if the rectangle has an area of 49
a
0
b
4
c
9
d
12
e
11
f
15
5
An svg image showing a math problem
Find the missing value for y if the rectangle has an area of 64
a
0
b
11
c
9
d
3
e
8
f
14
6
An svg image showing a math problem
Find the missing value for y if the rectangle has an area of 42
a
14
b
17
c
4
d
8
e
0
f
-1
7
An svg image showing a math problem
Find the missing value for y if the rectangle has an area of 48
a
0
b
2
c
9
d
4
e
5
f
6