Question

Area of shaded portion is
​

Answer 1

Step-by-step explanation:

Given -

• Figure

To Find -

• Area of the shaded region

Now,

As we see :-

• PQRS is a rectangle

Then,

• Area of rectangle PQRS = l × b

→ Area = 4×3

→ 12

And

As we see :-

• RTUV and STWX is a square

Then,

• Area of square RTUV = (side)²

→ Area = (2)²

→ 4

And

Area of square STWX = (1)²

→ 1

And

As we see :-

• PVZ is a right angle triangle

→ Area of ΔPVZ = 1/2 × base × height

→ 1/2 × 2 × 2

→ 2

Now,

Area of shaded region = Area of rectangle PQRS - Area of Δ PVZ - Area of square RTUV - Area of square STWX

→ 12 - 2 - 4 - 1

→ 12 - 7

→ 5

Hence,

The area of shaded region is 5.

Note -

Figure in the attachment

NOT TO SCALE

Answer 2

$\huge{\underline{\overline{\mathfrak{\fcolorbox{cyan}{blue}{Answer:-}}}}}$

$\implies$ The are of shaded region is 5.

$\large\underline\mathrm{Given:-}$

• show in figure.

$\large\underline\mathrm{To \: find}$

• Area of the shaded region.

$\large\underline\mathrm{Solution}$

• Area of rectangle PQRS = l × b

$\implies$ Area = 4 × 3

$\implies$ Area = 12

• RTUV and SYWX is a square.

Then,

• Area of square RTUV = (side)²

$\implies$ Area = (2)²

$\implies$ 4

Area of square SYWX = (1)²

$\implies$ 1

• PVZ is a right angle triangle.

$\implies$ Area of ∆PVZ = 1/2 × b × h

$\implies$ 1/2 × 2 × 2

$\implies$ 2

Area of shaded region = Area of rectangle PQRS - Area of ∆PVZ - Area of square RTUV - Area of square SYWX

$\implies$ 12 - 2 - 4 - 1

$\implies$ 12 - 7

$\implies$ 5

Hence,

The are of shaded region is 5.

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$