Two similar triangular plots have corresponding boundary walls 36 m and 48 m long. Levelling a plot costs an amount proportional to its area, and levelling the smaller plot costs Rs 4,500. Find the cost of levelling the larger plot (in Rs).

Question

Accepted Answer

8000. Wall ratio smaller : larger = 36 : 48 = 3 : 4, so the area ratio, and therefore the cost ratio, is (3/4 )^2 = 9/16. Larger cost = 4500 × 16/9 = Rs 8,000. Using the length ratio 4/3 alone gives Rs 6,000, the commonest error; Rs 2531.25 scales the wrong way and Rs 9,000 merely doubles.

Two similar triangular plots have corresponding boundary walls 36 m and 48 m long. Levelling a plot costs an amount proportional to its area, and levelling the smaller plot costs Rs 4,500.
Find the cost of levelling the larger plot (in Rs).

Step-by-Step Solution

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More Class 10 Areas of Similar Triangles practice

Two similar triangular plots have corresponding boundary walls 36 m and 48 m long. Levelling a plot costs an amount proportional to its area, and levelling the smaller plot costs Rs 4,500.Find the cost of levelling the larger plot (in Rs).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

Two similar triangular plots have corresponding boundary walls 36 m and 48 m long. Levelling a plot costs an amount proportional to its area, and levelling the smaller plot costs Rs 4,500.
Find the cost of levelling the larger plot (in Rs).