100+ Area Aptitude Questions and Answers Pdf - 2

Question: 6

The cost of carpeting a room 18 m long with a carpet 75 cm wide at Rs. 4.50 per metre is Rs. 810. The breadth of the room is

(A) 7.5 m

(B) 8 m

(D) 9 m

View Answer

Ans: A

Length of the carpet = $$({Total cost} / {Rate ⁄ m})$$ = $$({8100} /{ 45})$$m = 180 m.

Area of the room = Area of the carpet = $$(180 × {75} / {100})$$ m² = 135m².

∴ Breadth of the room = $$({Area} / {Length})$$ = $$({135} / {18})$$m = 7.5 m.

Question: 7

The area of a rectangular field is 2100 sq.metres. If the field is 60 metres long, what is its perimeter?

(A) 190 m

(B) 210 m

(D) 270 m

View Answer

Ans: A

Breadth = $${Area} / {Length}$$ = $$({2100} / {60})$$m = 35 m.

∴ Perimeter = 2(60 + 35) m = 190 m.

Question: 8

What will be the area of 4 metre high wall on all four sides of a rectangular hall having perimeter 64 m?

(A) 244 m²

(B) 256 m²

(D) 384 m²

View Answer

Ans: B

Perimeter = 64 m ⇔ 2(l + b) = 64.

∴ Area of 4 walls = 2(l + b) × h = (64 x 4)m² = 256 m².

Question: 9

A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq.feet, how many feet of fencing will be required?

(A) 34

(B) 40

(D) 92

View Answer

Ans: C

We have l = 20 ft and lb = 680 sq.ft. So, b = 34 ft.

∴ Length of facing = (l + 2b) = (20 + 68) ft = 88 ft.

Question: 10

A typist uses a paper 30 cm by 15 cm. He leaves a margin of 2.5 cm at the top and bottom and 1.25 cm on either side. What percentage of paper area is approximately available for typing?

(A) 50%

(B) 60%

(D) 70%

View Answer

Ans: D

Area of the sheet = (30 × 15) cm² = 450 cm²

Area used for typing = [(30 - 5) × (15 – 2.5)]cm² = 312.5 cm²

∴ Required percentage = $$({312.5} / {450} × 100)$$% = 69.4% = 70%.

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100+ Area Aptitude Questions and Answers Pdf - 2

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