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## JSS1: MATHEMATICS - 2ND TERM

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Lesson 7, Topic 4
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# Perimeter of a Parallelogram

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Perimeter  =  2a  +  2b

= 2 (a  +  b)

### Example 1:

A parallelogram has sides measuring 20cm by 25cm. What is the Perimeter?

Solution

a = 20cm

b = 25cm

Perimeter = 2 (a  +  b)

Perimeter  = 2(20  +  25)

= 2(45)

= 2 × 45

= 90cm

### Example 2:

A parallelogram has sides measuring 250mm by 200mm. What would be the length of the side of a square having the same perimeter?

Solution:

Length of the parallelogram   =   250mm

Breadth/Width of the parallelogram   = 200mm

Perimeter p = 2 (a   + b)

P =   2 (250 + 200)

P =   2(450)

P = 900 mm

Therefore the perimeter of the square =  900 mm (i.e. the same as the perimeter of the parallelogram).

But the perimeter of a square is

P =   4 × length

i.e.  900 =  4 × length

Divide both sides by 4

$$\frac{900}{4} = \frac{4 \: \times \: length}{4}$$

Length  = $$\frac{900}{4}$$

Length = 225m

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