Question

Find the area of the shape shown below.

Answer 1

Answer:

Area of figure = 1/2( 4×10 + 2×2 + 6×2) + 2×2

= 1/2 (40 + 4 + 12 ) + 4

= 28 sq. unit .

Answer 2

The area of figure is 29 sq. units .

Explanation:

By drawing a line parallel to base , we get 4 different regions (3 triangles and 1 square)

Formula : Area of triangle = (0.5)(Base)(Height)

Area of square = (side)²

Area of triangle $I=(0.5)(2+2+6)(4)=(0.5)(10)(4)=20\text{ sq. units}$

Area of triangle $II=(0.5)(2)(2)=2\text{ sq. units}$

Area of square $III=2\times2=4\text{sq. units}$

Area of triangle $IV=(0.5)(2)(6)=3\text{ sq. units}$

Area of the total figure = Area of triangle I +Area of triangle II +Area of square IV+Area of triangle IV

= 20+2+4+3 sq units

= 29  sq units

Therefore , the area of figure is 29 sq. units .

# Learn more :

Find the area of the shape shown below.

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