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Cartesian Grid

Rectangle Area and Dimension to Dimension - Positive Only (Level 2)

This math topic focuses on calculating dimensions of rectangles using information about the area and one side length, specifically within a Cartesian grid context on positive dimension values only. The problems involve: 1. Determining the width of a rectangle when its area and height are given. 2. Determining the height of a rectangle when its area and width are given. All questions are multiple-choice, providing practice in applying the area formula of rectangles, A = width × height, to find the missing dimension. The problems also enhance skills in logical reasoning and algebraic thinking related to geometry in a Cartesian setting.

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

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Cartesian Grid - Rectangle Area and Dimension to Dimension - Positive Only Worksheet

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Cartesian Grid - Rectangle Area and Dimension to Dimension - Positive Only
1
Find the missing value for width if the rectangle has an area of 48 and a height of 8
An svg image showing a math problem
a
width=14
b
width=6
c
width=3
d
width=11
e
width=8
f
width=7
2
Find the missing value for height if the rectangle has an area of 42 and a width of 6
An svg image showing a math problem
a
height=3
b
height=7
c
height=16
d
height=5
e
height=8
f
height=6
3
Find the missing value for height if the rectangle has an area of 48 and a width of 6
An svg image showing a math problem
a
height=9
b
height=15
c
height=4
d
height=8
e
height=5
f
height=16
4
Find the missing value for height if the rectangle has an area of 42 and a width of 6
An svg image showing a math problem
a
height=12
b
height=7
c
height=11
d
height=4
e
height=13
f
height=2
5
Find the missing value for width if the rectangle has an area of 49 and a height of 7
An svg image showing a math problem
a
width=14
b
width=5
c
width=12
d
width=11
e
width=7
f
width=1
6
Find the missing value for height if the rectangle has an area of 42 and a width of 7
An svg image showing a math problem
a
height=15
b
height=6
c
height=5
d
height=13
e
height=4
f
height=1
7
Find the missing value for width if the rectangle has an area of 42 and a height of 7
An svg image showing a math problem
a
width=9
b
width=15
c
width=2
d
width=6
e
width=7
f
width=4
8
Find the missing value for width if the rectangle has an area of 42 and a height of 6
An svg image showing a math problem
a
width=10
b
width=3
c
width=9
d
width=11
e
width=7
f
width=8