Respuesta :
Answer:
D. 38.177 ac
Step-by-step explanation:
You want the area in acres of a plot of land 21.34 ch by 17.89 ch.
Area measure
A chain (ch) is a unit of length equal to 66 feet. A square chain is 1/10 of an acre.
(21.34 ch)(17.89 ch) = 381.7726 ch²
= (381.7726 ch²) × (0.1 ac)/(1 ch²) = 38.17726 ac ≈ 38.177 ac
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Additional comment
1 ch² = (66 ft)² = 4356 ft²
1 ac = 43560 ft² = 10 ch²
Please note that the plot of land is not square.
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In summary, the area of the square plot is 381.774 acres (option a). This is calculated by converting the measurements from chains to acres and applying the formula for the area of a square.
The area of a square plot of land measuring 21.34 chains by 17.89 chains is 381.774 acres (option a). To arrive at this answer, we need to calculate the area of the square plot using the formula for the area of a square, which is side length squared. First, we convert the given measurements from chains to acres. There are 10 square chains in an acre, so the area in square chains is (21.34 x 17.89) = 381.6926 square chains. Dividing this by 10 gives us the area in acres, which is 38.16926 acres. Rounding this to three decimal places, we get 381.774 acres. In detail, the conversion from chains to acres is done by dividing the area in square chains by the conversion factor of 10, since there are 10 square chains in an acre. The area in square chains is obtained by multiplying the length and width of the square plot. In this case, (21.34 x 17.89) gives us 381.6926 square chains. Dividing this by 10 yields 38.16926 acres. Rounding this to three decimal places, we arrive at the final answer of 381.774 acres. Therefore, option a is the correct answer.
Learn more about acres here: brainly.com/question/15374289
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