# Form 1 Unit 14 Lesson 4 – Perimeter and Area of a Parallelogram

## Objective

At the end of the lesson, the students should be able to know how to calculate perimeter and area of a parallelogram.

A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. The perimeter of a parallelogram can be calculated by using a formula.

Perimeter is 2 times the (base + side length)

P = 2 (b +s)

The area of a parallelogram can be calculated by using a formula

Area = base × height

A = b × h

(The height is always perpendicular to the base)

Example 1

Find the area of these parallelograms Solution

a)A = h × b                                 b) A = h × b

=4cm × 7cm                                = 3.5 × 3.1

=28cm2                                         = 10.85cm2

c)A = h × b

=3cm × 15cm

= 45cm2 Example 2

Find the area and perimeter of a parallelogram whose base is 5cm and height 7cm.

Solution

Area of parallelogram = height × base

= 7cm × 5cm

= 35cm2

Perimeter of the parallelogram = 2(base + height)

= 2 (5 + 7) cm

= 2 × 12cm

= 24cm

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