Find the area of the triangle with the base 1 2/5 yards and height 5/9 yards. The area of the triangle equals half of the product base and height.
The area is ____yd^2
(Type whole number or a simplified fraction)
I came up with 35/108 did I do the math correctly, and if not can you please show me where I made my mistake.
Thank you
I get a different answer.
(1/2)(7/5)(5/9) = 35/90 = 7/18 yd^2
To find the area of a triangle, you can use the formula:
Area = (1/2) * base * height
Given that the base is 1 2/5 yards (or 7/5 yards) and the height is 5/9 yards, let's substitute these values into the formula:
Area = (1/2) * (7/5) * (5/9)
To simplify this expression, we multiply the numerators and multiply the denominators:
Area = (1/2) * (7/5) * (5/9) = (7 * 5) / (2 * 5 * 9)
Now, we can cancel out the 5's in the numerator and denominator:
Area = (7 * 1) / (2 * 9) = 7 / 18
So, the area of the triangle is 7/18 square yards.
Therefore, it seems like there was a mistake in your calculation; the correct area is 7/18 square yards, not 35/108.