Question

area of the shaded portion​

Answer 1

Given :-

• ABCD is a Square.
• All sides are divided in 5, 10.

To Find :-

• Area of Square PQRS .
• Formula & Concept Used :-
• Thales Theoram .
• Area of ∆'s is depend upon Their base when Height is same.
• inside angle of Square = 90° .
• Pythagoras Theoram.

Solution ❶ :-

with Basic Method First . Refer To image ⓵ .

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Solution ❷ :-

Lets Try to Solve with Partition Area Method :-

Refer To image ⓶ For Diagram.

From image we can see That :-

Parallelogram DUBW and square PQRS having same height.

So, Base ratio = 10 : 6

Hence, Area ratio = 10 : 6 { Because Height is same }.

so,

☛ 10 unit ---------------------- 150

☛ 6 unit ----------------------- 90 (Ans).

Hence, Area of Square PQRS is 90unit².

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Answer 2

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