Question

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?

Answer 1

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.