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

This math topic focuses on calculating the dimensions of a rectangle when given its area and the ratio of its sides as fractional variables. It is part of a broader introduction to area and perimeter logic. The exercises require students to use algebra to solve for a variable, symbolized by 'x,' under the constraint of given geometric dimensions and numeric area values. The problems are framed as multiple-choice questions, each with several possible answers. This topic helps sharpen problem-solving skills in geometry and algebra, focusing particularly on applications involving area calculations and aspects of ratio manipulation.

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 (Fractional) as Variables Worksheet

Math worksheet on 'Area of a Rectangle - Side from Area and Side Ratio (Fractional) 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

13

b

21

c

35

d

25

e

23

f

15

2

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

a

12

b

44

c

40

d

32

e

48

f

36

3

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

a

26

b

12

c

23

d

17

e

18

f

13

4

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

a

4

b

20

c

6

d

2

e

28

f

30

5

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

a

10

b

20

c

17

d

14

e

5

f

11

6

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

a

9

b

21

c

33

d

30

e

15

f

3

7

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

a

20

b

16

c

28

d

30

e

18

f

24