Perimeter and area

Question 2

A rectangular rug is shown below. It is made up of individual squares. Each square has a side length of 1 m.

a	What is the area the rug covers?
b	What is the perimeter of the rug?

Solution

Method 1

We could count up the individual squares which make up the rug and this would total to 15 squares. This is 15 m².

Method 2

An alternative method would be to work out the dimensions of the rectangular rug. The rug has a length of 5 squares in length and a width of 3 squares, therefore:

	A		= L × W
			= 5 × 3
			= 15 m².

The area the rug covers is 15 m².

We add up all the individual edges of the rug — 2 lengths and 2 widths.

	P		= 2L + 2W
			= 2 × 3 + 2 × 5
			= 6 + 10
			= 16 m.

The distance around the outside of the rug is 16 m.

Perimeter and area

Question 3

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