Multiple choice

There is a square room of area 100 sq. m. The centre of the room is covered by a square carpet and the rest of the floor is covered by oil cloths. The carpet and the cloths cost Rs.18 and Rs.7.5 per square metre respectively and the total cost of the carpet and oil cloth is Rs.1422. Find the width of the oil cloth.

  1. 1 m.

  2. 2 m.

  3. 2.5 m.

  4. 0.5 m.

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Room area is 100 sq m, so side length is 10 m. Let carpet side = x. Then carpet area = x² and oil cloth area = 100 - x². The cost equation: 18x² + 7.5(100 - x²) = 1422. Solving: 10.5x² = 672, so x² = 64 and x = 8 m. The oil cloth borders the carpet on all sides, so its width = (10 - 8)/2 = 1 m. Option A is correct.

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