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1.03 Area

Worksheet
Rectangles, squares, triangles and other polygons
1

Find the area of the following rectangles:

a
b
c
d
e
f
2

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

3

Find the area of the following squares:

a
b
c
d
4

Find the area of the following triangles:

a
b
c
d
e
f
5

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

6

Find the length of each side of the square whose area is 64\text{ cm}^2.

7

Find the value of h in the triangle if its area is 120\text{ cm}^2.

8

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

9

Find the area of the following parallelograms:

a
b
c
d
10

Find the area of a parallelogram whose base is 10\text{ cm} and height is 5\text{ cm}.

11

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

12

Find the area of the following trapeziums:

a
b
c
d
13

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

14

Find the area of the following rhombuses:

a
b
c
d
15

Find the area of the following kites:

a
b
c
d
16

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

Circles
17

Find the area of the following circles to one decimal place:

a
b
c
d
18

Calculate the area of the following figure, correct to one decimal place.

19

Consider the following sector:

a

Calculate the perimeter. Round your answer to one decimal place.

b

Calculate the area. Round your answer to four decimal places.

20

Consider the following sector:

a

Calculate the perimeter to two decimal places.

b

Calculate the area to two decimal places.

21

The area of a circle is 352\text{ cm}^2.

a

If its radius is r\text{ cm}, find r, correct to two decimal places.

b

Using the rounded value from the previous part, find the circumference of the circle. Round your answer to one decimal place.

Applications
22

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

23

A rectangular sign casts a shadow on the ground like the one pictured.

What is the area of the shadow?

24

A kitchen floor is tiled with the tiles shown in the picture. If 50 tiles are needed to tile the floor, find the total area of the floor.

25

A gutter running along the roof of a house has a cross-section in the shape of a triangle as shown:

If the area of the cross-section is 40\text{ cm}^2, and the length of the base of the gutter is 10\text{ cm}, find the perpendicular height h of the gutter.

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Outcomes

3.1.2

calculate areas of parallelograms, trapeziums, circles and semi-circles

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