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 :
Options:
A . 12 m
B . 18 m
C . 30 m
D . 36 m
Answer: Option C 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
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