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A plot is in shape of rectangle need to be fenced at boundary and harvesting the crop inside the area. Harvesting cost of wheat is Rs. 25 per m2 and for rice is Rs. 30 per m2 . For fencing, cost per meter is Rs. 15. If the ratio of the area of plant wheat and rice is 3 : 5, and the width and the diagonal are 28 m and 53 m respectively. Total costing is Rs. _______
36273.6
37627.5
38972.4
32794.4
38123.5
- To determine the cost, calculate the rectangle's length using the Pythagorean theorem:
Length=Diagonal2−Width2=532−282=2809−784=2025=45m
- Calculate the perimeter for fencing:
Perimeter=2(Length+Width)=2(45+28)=146m
- Fencing cost:
15×146=2190Rs
- Calculate the area:
Area=Length×Width=45×28=1260m2
- Wheat and rice areas using ratio 3:5:
Wheat Area=38×1260=472.5m2
Rice Area=58×1260=787.5m2
- Harvesting cost:
Wheat=472.5×25=11812.5Rs
Rice=787.5×30=23625Rs
- Total cost:
2190+11812.5+23625=37627.5Rs
- Therefore, Option 2: 37627.5 is correct.
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