Direction: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to study the questions and decide the data in which of the statements are sufficient to answer the questions.
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The cost of carpeting a rectangular hall will be how much?
I. Perimeter of a rectangle is 60 m.
II. Angle between width and hypotenuse is 60°.
III. The cost of carpeting the surface floor is $125 per m2.
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- Only I and II
- Only II and III
- Only I and III or only II and III
- Question cannot be answered even within formation in all three.
- All the three statements I, II and III together are necessary for answering the question.
Correct Option: E
From above given statement , we can see that
I. Perimeter of a rectangle = 2 ( length + breadth ) = 60 m
⇒ 2 ( L + B ) = 60
∴ L+ B = 30 ….....(1)
II. In Δ ABC
| tan30° | = | B | ⇒ | 1 | = | B | L | √3 | L |
Combining I and II, we get the value of L ≈ 19 and B ≈ 11 m
∴ Area of rectangle = length x width = 19 × 11 = 209 m2
III. Cost = $125 per m2
∴ total cost of carpeting = cost of carpeting the surface floor x area of rectangle = 125 × 209 = $26125.
