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blsea [12.9K]
3 years ago
9

Write the expression for the perimeter of the rectangle

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0

Answer:

perimeter = 2(x + 5)

this is 2x + 10

x = 55 inches

Step-by-step explanation:

this question is a bit weird because they didn't put the units for 5, so I'm assuming it's in inches...

the perimeter of a rectangle will have two of each, so we can put the 2 outside the bracket since it applies to everything. We have x and we have 5 so put those in the bracket with a plus sign because you add when you're calculating the perimeter.

5 + 5 = 10

120 - 10 = 110 inches (this is 2x)

110 ÷ 2 = 55 inches

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Answer:

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I like your 30 there.

I found the length in orange by doing 55-30=25.

Now we can try to find the length in light purple by doing orange length plus the length you found which is 25+30=55.

So we can use a trig function to find x.

I made another picture to focus our problem more.

Now if you look at the triangle we have here and refer to trig right triangle definitions, we can setup an equation form this.

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So I will use the tangent ratio.

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55 \cdot \tan(12^\circ)=x

Now it is handy dandy calculator punching in time:

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