Mensuration Ques 42

Question

The length of a rectangle is 6 metre more than the side of a square and the breadth of the rectangle is 6 metre less than the side of the same square. If the area of the square is 625 square metre, what is the area of the rectangle? (in sq. metre)

(1) 513

(2) 665

(3) 551

(4) 627

(5) 589

(IBPS Bank PO/MT CWE (Prelim Exam))

Show Answer

Correct Answer: (5)

Solution: (5)

Area of square $=625$ sq. metre

$\therefore \quad$ Side of square $=\sqrt{625}$ $=25$ metre

$\therefore \quad$ Length of rectangle $=25+6=31$ metre

Breadth of rectangle $=25-6$ $=19$ metre

$\therefore \quad$ Area of rectangle $=31 \times 19$ $=589$ sq. metre