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Mademuasel [1]
3 years ago
9

PLZ HURRY WILL MAKE THE BRAINLIEST A company logo is made up of a rectangle and a triangle. The logo appears on a poster board a

t a trade show. What is the area of the logo?

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
6 0
A=lb
a=100×40=4000cm^2

a=0.5×lb
a=0.5×40×30
a=600cm^2

a=4000+600
a=4600cm^2
Ronch [10]3 years ago
3 0
First you find the area of the rectangle portion, by multiplying 40 by 100 = 4000cm(2)
Next find the area of the triangle by multiplying 30 by 40 then dividing in half.
30*40)/2=600
Now add the two

4600cm(2)

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we would like to solve the following equation for x:

\displaystyle  \frac{1}{p}  +  \frac{1}{q}  +  \frac{1}{x}  =  \frac{1}{p  + q + x}

to do so isolate \frac{1}{x} to right hand side and change its sign which yields:

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\displaystyle  \frac{1}{p}  +  \frac{1}{q}    =  \frac{x - (q + p +  x)}{x(p  + q + x)}

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\displaystyle  \frac{q + p}{pq}     =  \frac{  - (q + p )}{x(p  + q + x)}

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cross multiplication:

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distribute:

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isolate -pq to the left hand side and change its sign:

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rearrange it to standard form:

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now notice we end up with a <u>quadratic</u><u> equation</u> therefore to solve so we can consider <u>factoring</u><u> </u><u>method</u><u> </u><u> </u>to use so

factor out x:

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cancel out p from the first equation and q from the second equation which yields:

\displaystyle   \begin{cases} \displaystyle  {x}^{}   =  - p \\   \displaystyle x  =  -  q \end{cases}

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