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2 years ago

5

A rectangular garden has a length of 5a + 17 feet and a width of 4a feet. Which expression represents the area of the garden in

square feet?

1 answer:

mafiozo [28]2 years ago

7 0

Answer:

2(5a+17)+2(4a)=10a+34+8a=18a+34the area of the garden

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3(x+x+y) and 6x+3y

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3 years ago

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2×2×3×3×5 are the prime factors of 180

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2 years ago

13. Describe and correct the error in finding the product.

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x=−1.27794

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2 years ago

Segment BD is an altitude of triangle ABC. Find the area of the triangle.

Sever21 [200]

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).

$AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5$

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

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

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

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

6 0

3 years ago

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