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Level 3-4 Shapes - Perimeter and Area
An international football pitch is 105m x 68m.

Level 3-4 Shapes - Perimeter and Area

In your KS3 Maths adventure with shapes, you'll dive into the world of perimeter and area. Perimeter is the total length of a shape's sides, while area is the size of its surface.

Formulas come in handy for finding perimeters and areas. For instance, in a square, the perimeter is its length multiplied by 4, and the area is length multiplied by width.

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1.
What is the area of a rectangle with a length of 9 cm and a width of 7 cm?
49 cm2
54 cm2
63 cm2
77 cm2
9 x 7 = 63
2.
A rectangle has a length that is twice its width. If the length is 18 m, what is its perimeter?
36 m
48 m
54 m
72 m
The width of the rectangle must be 9 m
3.
To calculate the area of a rectangle it is necessary to multiply the length by the width; how is this formula usually represented?
A = l x w
e = mc2
L = a/w
W = a/l
Area = length x width
4.
An international football pitch is 105 m x 68 m. What is the area of one half of the pitch?
3,570 metres2
4,624 metres2
7,140 metres2
11,025 metres2
105m x 68m = 7,140 metres2 so half the pitch's area is 7,140 metres2 ÷ 2 = 3,570 metres2
5.
What is the area of a square that has a length of 15 cm and a width of 16 cm?
225 cm2
256 cm2
240 cm2
Not a valid question
If the sides are different sizes then it cannot be a square!
6.
What is the perimeter of a rectangle with a length of 28 cm and a width of 16 cm
42 cm
64 cm
74 cm
88 cm
(28 x 2) + (16 x 2) = 56 + 32 = 88
7.
A rectangle is 2 metres long and 88 centimetres wide; what is its area?
0.176 metres2
1.76 metres2
3.52 metres2
176 metres2
Don't mix up the metres and centimetres mentioned in the question
8.
Which of the following is not a valid measurement for an area?
102 m2
15 m
18 mm2
52 cm2
Area is always spoken of in terms of 'square' units i.e. 18 square millimetres or 52 square centimetres. In the answers above, 15 m is only a length
9.
Which of the following shapes would you not be asked to find the perimeter or area of?
Rectangle
Sphere
Trapezium
Triangle
A sphere is a 3 dimensional shape. Remember that perimeter and area are only associated with 2 dimensional shapes
10.
If a square has sides that are 13 cm long, what is its area?
26 cm2
52 cm2
105 cm2
169 cm2
13cm x 13cm = 169cm2
You can find more about this topic by visiting BBC Bitesize - Perimeter, Area, Volume

Author:  Frank Evans

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