Question

Look at the following figure to calculate the area of shaded part.
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Answer 1

In this image there are 4 triangles having same height of 13 metres.

To find area of shaded part we need to first find area of bigger triangle.

Height of bigger triangle = 13 metres

Base of bigger triangle = 30 metres

Area of triangle = 1/2 × height × base

.....[Formula]

Area of bigger triangle = 1/2 × 13 × 30

= 1/2 × 390

= 195 m² / 195 sq.metre

Now we need to find area of lighter triangle.

Height of lighter triangle = 13 metres

Base of lighter triangle = 14 metres

Area of lighter triangle = 1/2 × 13 × 14

= 13 × 7

= 91 m² / 91 sq.metre

Area of shaded part = (Area of bigger triangle)

-(Area of lighter triangle)

= 195 - 91

= 104 m² / 104 sq.metre

Answer:- Area of shaded part is 104 m² or 104 square metre.