Final answer:
To calculate the area of a triangle with a height of 6/25 feet and a base of 7/12 feet, the formula ½ × base × height yields an area of 7/100 square feet which is not listed in the provided choices, suggesting the need to verify the base and height values.
Step-by-step explanation:
To find the area of a triangle, we use the formula which is ½ × base × height. given the height is 6/25 feet and the width (base) is 7/12 feet, we calculate:
Area of the triangle = ½ × (7/12 feet) × (6/25 feet)
First, multiply the height and the base:
(7/12) × (6/25) = 42/300
Then simplify the fraction:
42/300 = 7/50
Now multiply this by 1/2 to find the area:
(1/2) × (7/50) = 7/100
However we need to find a common base for 100 so we convert it:
Area of the triangle = 7/100 × (1/1) = 21/300
Finally, simplify the fraction:
21/300 = 7/100, so the area of the triangle is 7/100 square feet which is not an option provided, implying there may have been a misinterpretation of the numbers or a typographical error. please ensure the numbers provided (base and height) are correct and correspond to the available answer choices.