Area of a Rectangle - Side from Area and Side Ratio as Variables (Level 3)

This math topic focuses on calculating the area of a rectangle when given the rectangle's area and the ratio of its sides as variables. Students practice deriving one side length of the rectangle using these given parameters. This is part of a larger unit on understanding the logic behind area and perimeter calculations, aimed at introducing students to geometric reasoning and problem-solving. The exercises require an understanding of basic algebra and geometry to manipulate and solve for variables, enhancing both algebraic and spatial thinking skills.

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

Area of a Rectangle - Side from Area and Side Ratio as Variables Worksheet

Math worksheet on 'Area of a Rectangle - Side from Area and Side Ratio as Variables (Level 3)'. Part of a broader unit on 'Area and Perimeter Logic - Practice' Learn online: app.mobius.academy/math/units/area_and_perimeter_geometry_logic_practice/

1

Solve for 'x', given this rectangle's dimensions

a

1

b

9

c

4

d

15

e

3

f

17

2

Solve for 'x', given this rectangle's dimensions

a

5

b

8

c

17

d

13

e

1

f

12

3

Solve for 'x', given this rectangle's dimensions

a

7

b

12

c

10

d

14

e

6

f

1

4

Solve for 'x', given this rectangle's dimensions

a

10

b

17

c

7

d

11

e

1

f

8

5

Solve for 'x', given this rectangle's dimensions

a

14

b

12

c

20

d

2

e

11

f

1

6

Solve for 'x', given this rectangle's dimensions

a

8

b

1

c

13

d

17

e

2

f

10

7

Solve for 'x', given this rectangle's dimensions

a

12

b

6

c

11

d

10

e

4

f

7