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MariettaO [177]
3 years ago
14

What is the area of the trapezoid shown below?

Mathematics
2 answers:
otez555 [7]3 years ago
3 0

Answer:

180 units

Step-by-step explanation:

In order to solve this, we need to find the length of the missing side of the triangle using the Pythagorean theorem.

a²+b²=c²

a= 7

b=x

c= 25

7²+x²=25²

49+x²=625

Subtract 49 from both sides

x²=576

x=24

The length of the missing side of the triangle is 24, which is also the base of the triangle. We need to find the area of the triangle so we use the formula for the area of a triangle, A=1/2bh.

A= 1/2 (24 x 7)

A=84

Now, we need to find the area of the rectangle.

Formula for area of rectangle: A= bh

A= bh

A= 4 x 24

A= 96

Next, we add the areas of both shapes to get the area of the entire figure.

96+84=180

Area of figure= 180

ira [324]3 years ago
3 0

Answer:

area = 180

Step-by-step explanation:

will make it simple and short

<u>area of a trapezoid = (a + b) h/2</u>

h = sqrt(25² - 7²) = 24

Area = (4 + 11) * 24/2

area = 180

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1:3...added = 4

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4 0
3 years ago
(-18x^2+12x-2)*(x^3+12x^2+48x+64)
prohojiy [21]
<h2>Answer:</h2>

-18x^5-204x^4-722x^3-600x^2+672x-128

<h2>Explanation:</h2>

( - 18 {x}^{2}  + 12x - 2)

( {x}^{3}  + 12 {x}^{2}  + 48x + 64)

There are multiple ways to solve this for example the foil method or the box method. I prefer to do the box method.

First we are going to set it up

After we set it up we have to solve it so first we are going to multiply

{x}^{3}  \times  - 18 {x}^{2}  =  - 18 {x}^{5}

We have to add the exponent

- 18 {x}^{2}  \times 12 {x}^{2}  =  - 216 {x}^{4}

- 18 {x}^{2}  \times 48x =  - 864 {x}^{3 }  \\  - 18{x}^{2}  \times 64 =  - 1152 {x}^{2}  \\ 12x \times  {x}^{3}  = 12 {x}^{4}  \\ 12x \times 12 {x}^{2}  = 144 {x}^{3}

12x \times 48x = 576 {x}^{2}  \\ 12x \times 64 = 768x

- 2  \times  {x}^{3}  =  - 2 {x}^{3}  \\  - 2 \times 12 {x}^{2}  =  - 24 {x}^{2}  \\  - 2 \times 48x =  - 96x \\  - 2 \times 64 =  - 128

Now we have to add them

-18x^5 stays because there is nothing to add to

Now we add the rest

-216 {x}^{4}  + 12 {x}^{4}  =  - 204 {x}^{4}

- 864 {x}^{3}  + 144 {x}^{3}  +  - 2 {x}^{3}  = -  722 {x}^{3}

768x - 96x = 672x

And -128 stays the same

- 1152 {x}^{2}  + 576 {x}^{2}  - 24 {x}^{2}  =  - 600 {x}^{2}

The answer is

-18x^5-204x^4-722x^3-600x^2+672x-128

5 0
4 years ago
I need help As Soon As possible!
Julli [10]
This should be simple, add the Amounts of snow for the first week
4.32 + 6.86 = 11.18
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The subtract the amounts of snow from each week
11.18 - 7.89 = 3.29
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6 0
4 years ago
5. A race course is 99 meters long. There are trees
Ivanshal [37]

Answer:

61

Step-by-step explanation:

99 minus 38

7 0
3 years ago
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out of 300seniors at a local high school 40% went on a senior trip.at the hotel on room was reserved for every 4 students.how ma
Andreyy89
300 × .40=120
120/4=30 rooms
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3 years ago
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