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Standard Level

8.01 Area

Worksheet
Areas of rectangles, squares and triangles
1

Find the area of the following rectangles:

a
b
c
d
2

Find the area of a rectangle whose length is 12 \text{ cm} and width is 5 \text{ cm}.

3

Find the area of a rectangle whose length is 11 \text{ m} and width is 8 \text{ m}.

4

If the area of a rectangle is 99 \text{ cm}^2 and its width is 9 \text{ cm}, find its length.

5

If the area of a rectangle is 160 \text{ cm}^2 and its length is 20 \text{ cm}, find its width.

6

Find the area of the following squares:

a
b
c
7

Find the length of each side of a square whose area is:

a
64 \text{ cm}^2
b
36 \text{ m}^2
8

Find the area of the following triangles:

a
b
c
d
e
f
g
9

Find the value of the pronumeral for each of the following triangles, given the area:

a

The area of this triangle is 20\text{ mm}^2

b

The area of this triangle is 48\text{ m}^2 .

c

The area of this triangle is 130 \text{ cm}^2.

10

Find the base of the triangle whose area is 17.5 \text{ cm}^2 and height is 5 cm.

Areas of parallelograms
11

Find the area of the following parallelograms:

a
b
c
d
12

Find the area of a parallelogram with:

a

A base of 5\text{ mm} and perpendicular height of 2\text{ mm}.

b

A base of 15\text{ cm} and a perpendicular height of 7\text{ cm}.

c

A base of 10\text{ cm} and a perpendicular height 5\text{ cm}.

13

Find the base length of a parallelogram with area of 96 \text{ cm}^2 and perpendicular height of 8\text{ cm}.

14

Find the height of a parallelogram with area of 84 \text{ cm}^2 and perpendicular base length of 6\text{ cm}.

15

Find the perpendicular height, h, of a parallelogram that has an area of 45 \,\text{cm}^2 and a base length of 5 \,\text{cm}.

16

Find the base length, b, of a parallelogram that has an area of \, 216 \,\text{mm}^2 and a perpendicular height of 12 \,\text{mm} .

Areas of trapeziums
17

Find the area of the following trapeziums:

a
b
c
d
e
f
18

Find the value of x if the area of the trapezium shown is 65 \text{ cm}^2.

19

Find the value of a if the area of the trapezium is 42 \,\text{mm}^2.

Areas of Kites and Rhombuses
20

Find the area of each rhombus below:

a
b
c

x = 10 and y = 12

d

x = 4\,\text{cm} and y = 8\,\text{cm}

e
21

Rhombus ABCD has an area of 55\,\text{cm}^2. If diagonal BD = 11 \,\text{cm}, and AC = x \,\text{cm}, find x.

22

Find the area of the following kites:

a
b
c
23

The area of a kite is 308 \text{ cm}^2 and one of the diagonals is 47 cm. If the length of the other diagonal is y cm, what is the exact value of y?

24

The following kite has an area of 48 \,\text{cm}^2. The length of one of its diagonals is 12 \,\text{cm}.

Find the length of the other diagonal, k.

Applications
25

A rectangular sign casts a shadow on the ground as shown. What is the area of the shadow?

26

Find the shaded area shown in the figure:

27

Sharon has purchased a rectangular piece of fabric measuring 12 m in length and 7 m in width. What is the area of the largest triangular piece she can cut out from it?

28

A rectangle is placed on top of a trapezium as shown. Find the area of the composite shape.

29

Find the area of the figure shown. All dimensions are in millimetres.

30

Find the area of the following figure. All dimensions are in metres.

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