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The breadth of a rectangular field is 8m and its length is three times it's breadth. If three-quarters of the field is cemented,what is the area of the field that is cemented.?
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The breadth of a rectangular field is 8m and its length is three times...
Problem Statement: The breadth of a rectangular field is 8m and its length is three times its breadth. If three-quarters of the field is cemented, what is the area of the field that is cemented?

Solution:

Given,
Breadth of the rectangular field = 8m
Length of the rectangular field = 3 x Breadth = 3 x 8m = 24m
Area of the rectangular field = Breadth x Length = 8m x 24m = 192m²

Step 1: Calculate the total area of the rectangular field.

We know that the area of a rectangular field is given by the formula:

Area = Breadth x Length

Substituting the given values, we get:

Area = 8m x 24m = 192m²

Therefore, the total area of the rectangular field is 192m².

Step 2: Calculate the area of the cemented portion.

Given that three-quarters of the field is cemented. Therefore, the area of the cemented portion can be calculated as follows:

Area of cemented portion = 3/4 x Area of the rectangular field

Substituting the value of the area of the rectangular field, we get:

Area of cemented portion = 3/4 x 192m² = 144m²

Therefore, the area of the portion of the field that is cemented is 144m².

Step 3: Conclusion.

Thus, the area of the field that is cemented is 144m².
Community Answer
The breadth of a rectangular field is 8m and its length is three times...
144 m^2 is the answer.
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