Answer:
68.75 square yards (rounded to the nearest hundredth).
Explanation:
To find the area of a right triangle, we can use the formula:
Area = (1/2) * base * height
Given the height of 6 and one fourth yards (6 1/4) and a base of 22 yards, we can calculate the area as follows:
Area = (1/2) * 22 * (6 1/4)
To simplify the calculation, we can convert the mixed fraction 6 1/4 to an improper fraction:
6 1/4 = (4 * 6 + 1) / 4 = 25 / 4
Now we can substitute the values into the area formula:
Area = (1/2) * 22 * (25/4)
Next, we can simplify the expression by multiplying the numbers:
Area = (11/1) * (25/4)
Multiplying the numerators and denominators:
Area = (11 * 25) / (1 * 4)
= 275 / 4
To convert the fraction to a mixed number, we can divide the numerator by the denominator:
275 ÷ 4 = 68 remainder 3
Therefore, the area of the right triangle is:
Area = 68 3/4 square yards or 68.75 square yards (rounded to the nearest hundredth).
Among the options provided, the closest match is "sixty-eight and three fourths yds2".