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Working out the Perimeter of Plane Figures - Grade 4 Math

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GRADE 4 MATHEMATICS REVISION QUESTIONS

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Working out the Perimeter of Plane Figures

Square

What is the perimeter of the figure below?

Perimeter Image
Perimeter is calculated by adding all the sides of the square.
Remember that all sides of a square have equal measurements
So, if One side is marked 10 cm, all sides are 10 cm
Perimeter = L + L + L + L or L x 4
= 10 + 10 + 10 + 10 (or 10 x 4) = 40
= 40 cm (do not forget the units)

Rectangle

What is the perimeter of the figure below?

Perimeter Image  -Rectangle
Perimeter is calculated by adding all the sides of the Rectangle.
Remember that two opposite sides of a rectangle have equal measurements
So, if One side is marked 10 cm, the opposite side is also 10 cm.
Perimeter = L + W + L + W or (L x 2) + (W x 2) or 2L + 2W
= 18 + 10 + 18 + 10 or (18 x 2) + (10 x 2) = 56
= 56 cm (do not forget the units)

Other Figures

What is the perimeter of the figure below?

Perimeter Image  -Rectangle
Perimeter is calculated by adding all the sides of the shape.
Draw the shape on a paper and mark each side when you add it. This will help prevent adding a side twice.
= 12 + 7 + 16 + 10 + 18 = 63
= 63 cm (do not forget the units)


Addition involving metres and centimetres

When working with metres and centimetres, always remember:
1 metre = 100 centimetres.

Example 2.1

Convert 16 metres to centimetres

Remember 1m = 100 cm
Hence,
16 m = ? cm
16 x 100 = 1600 cm.
1600 cm

Example 2.2

Wok out

Perimeter Image - Addition
Answer
Perimeter Image - Addition

Example 2.3

Mary's drew a 1m and 30 cm line on the sand. John's drew 5m and 10 cm from where Mary left. How long was the line?

Answer
Perimeter Image - Addition

Subtraction involving metres and centimetres

Example 3.1

Wok out

Perimeter Image - Addition
Answer
Perimeter Image - Addition

Example 3.2

A stick measured 3m and 16 cm. Mercy cut 1m and 50 cm from it. What was length of the remaining stick.

Perimeter Image - Addition
In this example, 16 is less than 50 and hence will leave a negative number. Hence, we 'borrow' 1 metre from the metres column, convert it to centimetres and add 16. It will be 116.
Therefore, 116 - 50 = 66.
On the metres column, we are left with 2 - 1 (remember we 'borrowed' 1m earlier)
2 - 1 = 1

Multiplication involving metres and centimetres

Example 4.1

Wok out

Perimeter Image - Addition
Answer
Perimeter Image - Addition

First, we multiply 40 by 3 to get: 40 x 3 = 120
Remember that 100cm = 1, hence the 120cm can be converted to metres to give 1m and 20cm
Write the 20 in the cm column and 'carry forward' the 1m.
Then multiply 2 x 3,
2 x 3 = 6,
Then add the 1 we had 'carried forward' earlier,
6 + 1 = 7m,
Hence the answer is 7m 20cm.


Division involving metres and centimetres

Example 5.1

Wok out

Perimeter Image - Addition
Answer
Perimeter Image - Addition

Your answer, 6m 9cm.

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