ABCD is a square and AEFG is a rectangle. Area of each of them is 36 sq.m. E is the mid-point of AB. The perimeter of the rectangle AEFG is :

A. 12 m

B. 18 m

C. 30 m

D. 36 m

Answer: Option C

Solution(By Examveda Team)

Area of square ABCD = 36 m²
AB = $$\sqrt {36} $$ m = 6 m
AE = $$\frac{1}{2}$$ × AB = 3 m
Area of rectangle AEFG = 36 m²
∴ AE × EF = 36
⇒ EF = $$\frac{36}{3}$$ = 12 m
Perimeter of rectangle AEFG :
= 2 (AE + EF)
= [2 (3 + 12)] m
= 30 m