Question

Find the area of the shaded triangles, if the side of each square is 1cm​

Answer 1

The figure consist of 1cm rectangle,3 unshaded and 1 shaded triangle.

Area of rectangle=8×6=48sq.cm

Area of triangle with base 4cm and height 5cm is

=

2

1

​

×4×5=10sq.cm

Area of triangle with base 3cm and height 6cm is

=

2

1

​

×3×6=9sq.cm

Area of triangle with base 2cm and height 8cm is

=

2

1

​

×2×8=8sq.cm

Area of shaded triangle=Area of rectangle−Area of unshaded triangle

Area of shaded triangle=48−(10+9+8)=48−27=21sq.cm

Answer 2

Given: Side of each square = 1 cm.

Formula used: Area of triangle = 1/2 × Base × Height.

Calculations: The shaded part of the above figure is given below, We can divide the shaded part in ΔABC and ΔBCD, AB = 3 cm, BC = 4 cm. Height of ΔBCD = 2 cm. Area of ΔABC = (1/2) × AB × BC. ⇒ (1/2) × 3 × 4. ⇒ 6 cm2