Five flower beds each of side 3cm are dug on a piece of land 17cm long...
Area of one flower bed = 3 × 3 = 9 cm2
Area of five flower beds = 9 × 5 = 45 cm2
Area of rectangular field = 17 × 5 = 85 cm2
Area of remaining part = 85 – 45 = 40 cm2
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Five flower beds each of side 3cm are dug on a piece of land 17cm long...
To find the area of the remaining part of the land, we need to subtract the total area of the flower beds from the total area of the land.
1. Calculate the area of one flower bed:
- The flower bed is in the shape of a square.
- The side of the flower bed is given as 3cm.
- The area of a square is calculated by squaring the length of one side.
- Area of one flower bed = (3cm)² = 9cm²
2. Calculate the total area of all five flower beds:
- Since there are five flower beds, multiply the area of one flower bed by 5.
- Total area of flower beds = 5 * 9cm² = 45cm²
3. Convert the dimensions of the land from meters to centimeters:
- Length of the land = 17m = 1700cm
- Width of the land = 5m = 500cm
4. Calculate the total area of the land:
- Total area of the land = Length * Width
- Total area of the land = 1700cm * 500cm = 850,000cm²
5. Calculate the area of the remaining part of the land:
- Remaining area of the land = Total area of the land - Total area of flower beds
- Remaining area of the land = 850,000cm² - 45cm² = 849,955cm²
Therefore, the area of the remaining part of the land is 849,955cm². However, since the answer choices are given in square centimeters, we round the answer to the nearest whole number.
So, the correct answer is option B) 40cm².