Page 203 - Touchpad Mathematics_Ver1.0_C5

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Step 2. Divide the triangle into two parts as shown.
a. b.

Step 3. Shade the rectangles with different colours and work on them separately.

a. b.

Area of the yellow square Area of the yellow rectangle

= 5 × 5 = 25 sq. units = 6 × 3 = 18 sq. units

Area of the yellow triangle Area of the yellow triangle
25 1
= = 12 sq. units = 9 sq. units
2 2

Area of the pink square Area of the green rectangle

= 25 sq. units = 8 × 6 = 48 sq. units

Area of the pink triangle Area of the green triangle

25 1
= = 12 sq. units = 24 sq. units
2 2

So, area of the given triangle So, area of the given triangle
1 1
= 12 + 12 = 25 sq. units. = 9 + 24 = 33 sq. units.

2 2
example 2. Find the area of triangle PQR shown here.
P
Solution. Area of rectangle A = 3 × 5 sq. units = 15 sq. units

Area of rectangle B = 3 × 5 sq. units = 15 sq. units A B

15 15 30
So, area of triangle PQR = + = = 15 sq. units.
2 2 2 Q R

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Perimeter and Area