Question 16 of 22intermediate🔧 ApplyNumerical3 marks

It is good farming practice to apply 10 tonnes of cow manure for 1 acre of land. A farmer is planning to grow tomatoes in a plot of size 200 ft by 500 ft. How much manure should he buy? (Please refer to the section on Unit Conversions earlier in this chapter).

Correct Answer

Step 1: Calculate plot area Area = 200 ft × 500 ft = 100,000 sq. ft

Step 2: Convert to acres 100,000 ÷ 43,560 ≈\approx 2.296 acres

Step 3: Set up proportion 1 acre : 10 tonnes :: 2.296 acres : x tonnes

Step 4: Calculate manure needed x = 10×2.29610 \times 2.296 = 22.96 tonnes ≈\approx 23 tonnes

Answer: The farmer should buy approximately 23 tonnes of manure.

Exercise: Figure it Out (Section 4) | Q: 8 | (Page Page 19)
For More Understanding

Explanation

First convert the plot size from square feet to acres using the conversion 1 acre = 43,560 sq. ft. Then use proportion to find the manure needed.

Solution Steps

  1. Step 1: Calculate plot area = 200 ft × 500 ft = 100,000 sq. ft

  2. Step 2: Convert to acres: 100,000 ÷ 43,560 ≈\approx 2.296 acres

  3. Step 3: Set up proportion: 1 acre : 10 tonnes :: 2.296 acres : x tonnes

  4. Step 4: x = 10×2.29610 \times 2.296 = 22.96 tonnes ≈\approx 23 tonnes

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