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Calculate the total area of three rectangular plots A, B, and C, given their dimensions and relationships in a diagram.
Mathematics
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Step-by-step solution
4 stepsTo find the total area of the three plots A, B, and C, we need to calculate the area of each plot and then sum them up. All plots are rectangular, so their area is calculated as length width.
Determine the dimensions and calculate the area of Plot A.
From the diagram:
- The length of Plot A is .
- The total width of the farm is (indicated by the arrow at the bottom). Plot A spans this entire width.
Determine the dimensions and calculate the area of Plot B.
From the diagram:
- The length of Plot B is .
- The total width of the bottom section (Plots B and C combined) is .
- The width of Plot C is .
- Therefore, the width of Plot B is .
Determine the dimensions and calculate the area of Plot C.
From the diagram:
- The length of Plot C is the same as the length of Plot B, which is .
- The width of Plot C is .
Calculate the total area of the three plots.
The total area of the three plots A, B, and C is .
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