Question

Find the area of the shape shown below.

Answer 1

32 square units

Explanation:

Area = Bigger triangle + 2 Smaller triangles + Square

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

Area = 20 + 6 + 2 + 4

Area = 32

Answer 2

32 square units

Explanation:

We know that area of triangle is 1/2 × base × height

Also, area of square is side × side

In the following figure, there are three triangles and one square.

Applying the formulae mentioned above, we get

Area of ΔABE =
`(1)/(2)` ×BE × AB =
`(1)/(2)* 10* 4=20` square units

Area of ΔBCF =
`(1)/(2)` × BC × CF = 1/2 × 2 × 2 =2 square units

Area of ΔDGE = 1/2 × GE × DG = 1/2 × 2 × 6 = 6 square units

Area of square CDGF =
`\left ( CF \right )^2=2^2=4` square units

Area Of the figure ABCDE = Area of ΔABE + Area of ΔBCF + Area of ΔDGE + Area of square CDGF = 20 + 2 + 6 + 4 = 32 square units