Question

Find the area of the following shape.

Answer 1

Required Answer:

Here, we'll find the area of the shape by splitting it into two congruent parallelograms.

Here,

$\longrightarrow$ BCDE = Parallelogram 1

$\longrightarrow$ BAFE = Parallelogram 2

$\bigstar \: \boxed{\sf { Area_{(Shape)} = Area{(BCDE)} + Area_{(BAFE)} }}$

$\underline{ \underline{ \sf \red{ Calculating \: area \: of \: BCDE}} }$

➛ $\boxed{\sf { Area_{(Parallelogram)} = Base \times Height}}$

Given,

⪼ Base = DC = 5 cm

⪼ Height = 3 cm

➛ Area or BCDE = 5 cm × 3 cm

➛ Area or BCDE = 15 cm²

Similarly,

$\underline{ \underline{ \sf \red{ Calculating \: area \: of \: BAFE}} }$

➛ $\boxed{\sf { Area_{(Parallelogram)} = Base \times Height}}$

Given,

⪼ Base = AF = 5 cm

⪼ Height = 3 cm

➛ Area or BAFE = 5 cm × 3 cm

➛ Area or BAFE = 15 cm²

So,

$\bigstar \: \boxed{\sf { Area_{(Shape)} = Area{(BCDE)} + Area_{(BAFE)} }}$

$\longrightarrow$ Area of the shape = 15 cm² + 15 cm²

$\longrightarrow$ Area of the shape = 30 cm²

Therefore, area of the shape is 30 cm².