Question

11. Let ABCD be square of side 20 cm. The area of the square PQRS (in cm) interior to ABCD,
shown in the figure is :

(A) 60
(B) 80
(C) 100
(D) 400​

Answer 1

Gɪᴠᴇɴ :-

• ABCD is a Square of side = 20cm.
• L, O, N, M are Mid - Points of sides.

Tᴏ Fɪɴᴅ :-

• The area of the square PQRS (in cm) interior to ABCD ?

Fᴏʀᴍᴜʟᴀ ᴜsᴇᴅ :-

• From image , we can conclude That, when , A Square or Parallelogram is made inside Through Mid - Points , Than , Area of insides Square will be :- (Area of Outside Square / 5)
• Area of Square = (Side)² .

Sᴏʟᴜᴛɪᴏɴ :-

→ Side of Square ABCD = 20cm.

→ Area of Square ABCD = (20)² = 400cm².

Hence, From Above Told Formula :-

→ Area of Square PQRS = (Area of Square ABCD) / 5

→ Area of Square PQRS = (400) / 5

→ Area of Square PQRS = 80cm². (Ans.) (Option B).

Therefore, Area of Square PQRS will be 80cm².