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vesna_86 [32]
3 years ago
6

Maria put trim around a banner that is the shape of a triangle. Each side is 22 inches long. Maria has 1/2foot of trim left. Wha

t was the length of the trim when she started? Write your answer in yards

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

Maria had 2 yards of trim when she started.

Step-by-step explanation:

Step 1:

All of the sides of the triangle is 22 inches long each.

The total length of the sides of the triangle = 3(22) = 66.

So the total length of the trim for the banner is 66 inches long.

If Maria still has \frac{1}{2} a foot of trim left, she had 6 inches of the trim left.

The length of the trim when she started=66 +6 = 72 inches.

Step 2:

Now we need to convert the 72 inches into yards.

We have 1 inch = 0.0277778 yards.

So 72 inches = 0.0277778(72) = 2.

So Maria had 2 yards of trim when she started.

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Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

First, we find BD, where B(-1,4) and D(2,4).

BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

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So, the base of the triangle is 5.

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A=\frac{1}{2}\times {\text{base}}\times {\text{height}}

A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5

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