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What is the area of a right triangle with a height of six and one fourth yards and a base of 22 yards?

34 yds2
sixty eight and three fourths yds2
132 yds2
one hundred thirty seven and one half yds2

User KungWaz
by
8.3k points

2 Answers

3 votes

Answer:

68.75 square yards

Explanation:

User Guneysus
by
8.3k points
0 votes

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".

User Khaled Boussoffara
by
8.2k points