find the area of a triangle with the base 1 1/4 and height 4/9 ( Hint the area of a traingle is equals half the product of its base and height ) I came up with .55 or 11/20 is this correct ???

Question

find the area of a triangle with the base 1 1/4 and height 4/9 ( Hint the area of a traingle is equals half the product of its base and height ) I came up with .55 or 11/20 is this correct ???

Answer 1

No. First to multiply fractions, we change mixed number into improper fraction. The mixed number here is 1 1/4. To change this, we multiply the denominator (the 4) to the constant (the first 1, not the 1 above the bar line) and add this to numerator. thus,

1 1/4 = (1*4 + 1)/4 = 5/4

then recall that the area of triangle is given by
A = (1/2)bh
where b is base and h is height
substituting,
A = (1/2) * (5/4) * (4/9)
to multiply fractions, we just multiply the numerator by numerator & denominator by denominator:
A = (1 * 5 * 4) / (2 * 4 * 9)
A = 20/72
A = 5/18

hope this helps~ :)

Answer 2

To find the area of a triangle, you can use the formula A = 1/2 * base * height. Let's calculate it step by step:

Step 1: Convert the mixed number to a fraction.
1 1/4 = 5/4

Step 2: Plug in the values into the formula.
A = 1/2 * (5/4) * (4/9)

Step 3: Simplify the expression.
A = (1/2) * (5/4) * (4/9)
= (5/8) * (4/9)
= (5 * 4) / (8 * 9)
= 20 / 72

Step 4: Simplify the fraction, if possible.
20 / 72 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
= 5 / 18

So, the area of the triangle is 5/18 or approximately 0.28.
Your answer of 0.55 or 11/20 is not correct.

Answer 3

To find the area of a triangle, you can use the formula: Area = (1/2) * base * height.

In this case, the given base is 1 1/4, which can be written as a mixed number or an improper fraction. Let's convert it to an improper fraction:

1 1/4 = (4 * 1) + 1 / 4 = 5 / 4

So, the base is 5/4.

The given height is 4/9.

Now, let's substitute these values into the formula:

Area = (1/2) * (5/4) * (4/9)

To simplify this expression, you can cancel out the common factors:

Area = (1/2) * (5/1) * (1/9)

Multiply the numerators together and multiply the denominators together:

Area = (5/2) * (1/9)

Multiply the numerators and denominators together:

Area = 5/18

So, the area of the triangle is 5/18. Your answer of 11/20 or 0.55 is incorrect.

Please note that when performing calculations, it's important to maintain the accuracy and precision of the numbers to get the correct result.