A square carpet with an area 169 m2 must have 2 metres cut-off one of its edges in order to be a perfect fit for a rectangular room. What is the area of rectangular room?
Choose the correct choice from the following answers.
A) 180 m 2
B) 164 m 2
C) 152 m 2
D) 143 m 2
E) none of these

Rationale: side of square carpet = √ area = √ 169 = 13 m after cutting of one side , measure of one side = 13 – 2 = 11 m and other side = 13 m ( remain same ) ∴ area of rectangular room = 13 × 11 = 143 m 2 answer d
Answer: D