100+ Problems on Area Questions for Bank Exams - 2
Question: 6
A rectangular room can be partitioned into two equal square rooms by a partition 7 metres long. What is the area of the rectangular room in square metres?
(A) 49
(B) 98
(C) 147
(D) 196
Ans: B
Length of the room = (7 + 7)m = 14 m.
Breadth of the room = 7 m.
∴ Area of the room = (14 × 7)m2 = 98 m2.
Question: 7
The length of the side of a square whose area is four times the area of a square with side 25 m is
(A) 12.5 m
(B) 25 m
(C) 50 m
(D) 100 m
Ans: C
Area of given square = (25 × 25) m2 = 625 m2.
Area of new square = (625 × 4) m2 = 2500 m2.
∴ Side of new square = $$√2500$$ m = 50 m.
Question: 8
50 square stone slabs of equal size were needed to cover a floor area of 72 sq.m. The length of each stone slab is
(A) 102 cm
(B) 112 cm
(C) 120 cm
(D) 201 cm
Ans: C
Area of each slab = $$({72}/{50})$$m2 = 1.44 m2.
∴ Length of each slab = $$√1.44$$ m = 1.2 m = 120 cm.
Question: 9
A circular wire of diameter 42 cm is bent in the form of a rectangle whose sides are in the ratio 6 : 5. Find the area of the rectangle.
(A) 1020 cm2
(B) 1060 cm2
(C) 1080 cm2
(D) 1120 cm2
Ans: C
We have r = 21 cm.
Perimeter of the rectangle = Circumference of the circle
= $$(2 × {22}/{7} × 21)$$ cm = 132 cm.
Let the sides of the rectangle be 6x and 5x.
Then, 2(6x + 5x) = 132 ⇒ 11x = 66 ⇒ x = 6.
So, the sides of the rectangle are 36 cm and 30 cm.
∴ Area of the rectangle = (36 × 30) cm2 = 1080 cm2
Question: 10
The area of a square is three fifths the area of a rectangle. The length of the rectangle is 25 cm and its breadth is 10 cm less than its length. What is the perimeter of the square?
(A) 44 cm
(B) 54 cm
(C) 60 cm
(D) 80 cm
Ans: C
Length of rectangle = 25 cm.
Breadth of rectangle = 15 cm.
Area of rectangle = (25 × 15) cm2 = 375 cm2.
∴ Area of square = $$({3}/{5} × 375)$$cm2 = 225 cm2
Side of square = $$√225$$ cm = 15 cm.
Perimeter of square = (4 × 15 cm) = 60 cm.
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