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How many acres are in a trapezoidal shaped field that measures 8 chains on base 1, 11.8 chainson base 2, and 4.5 chains on width?

User Akpp
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1 Answer

12 votes
12 votes

Question:

Solution:

Data of the problem:

1) Base 1 measures 8 chains.

2) Base 2 measures 11.8 chains.

3) Width of the Trapezoid is 4.5 chains.

Now, remember that the area of a trapezoid is given by the following formula:


A\text{ = }((a+b))/(2)\text{ x h}

where a and b are the bases and h is the width. Then, replacing the previous data in this equation we obtain:


A\text{ = }((8+11.8))/(2)\text{ x (4.5) = }44.55\text{ chains}

now, 1 chain is equivalent to 0.1 acres, then we have that 44.5 chains are:


44.5\text{ chains ( }\frac{0.1\text{ acres}}{1\text{ chain}}\text{) = }4.45\text{ acres}

Then, we can conclude that the correct answer is:

4.45 acres.

How many acres are in a trapezoidal shaped field that measures 8 chains on base 1, 11.8 chainson-example-1
User Clyde
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