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3 years ago

A rectangular room is 2 times as long as it is wide, and its perimeter is 30 meters. Find the dimension of the room.

Mathematics

1 answer:

disa [49]3 years ago

8 0

Answer:

5 by 10

Step-by-step explanation:

We know that the equation of a perimeter of a recangle is 2(l)+2(w), l being length and w being width. We know that l=2w. So the perimeter of this room would be:

2(2w)+2(w)=30

4w+2w=30

6w=30

w=5

l=2w

l=10

the dimensions are 5 by ten

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2 years ago

In the right ΔABC, AN is the altitude to the hypotenuse. Find BN, AN, and AC, if AB=2√5 in and NC= 1 in.

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Answer:

$BN=4\ \text{in}$

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Step-by-step explanation:

Let $BN=x$

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We have the relation

$\dfrac{BC}{AB}=\dfrac{AB}{BN}\\\Rightarrow \dfrac{c}{a}=\dfrac{a}{x}\\\Rightarrow c=\dfrac{a^2}{x}\\\Rightarrow x+1=\dfrac{a^2}{x}\\\Rightarrow x^2+x=20\\\Rightarrow x^2+x-20=0\\\Rightarrow x=\frac{-1\pm \sqrt{1^2-4\times 1\times \left(-20\right)}}{2\times 1}\\\Rightarrow x=4,-5$