1.

Area of shaded portion is​

Answer»

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


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