Mathematics High School

The length of a rectangle is five inches less than three times its width. If the perimeter
of the rectangle is 150 inches, find the dimensions.

L=40 in. ; W=35 in.
L=60 in. ; W=45 in.
L=50 in. ; W=25 in.
L=55 in. ; W=20 in.

Answers

Answer 1

Answer:

L = 55 in, W = 20 in

Step-by-step explanation:

Hi there!

First we have to set up an equation for the length, which can be written as 3x - 5.

The formula for perimeter of a rectangle is 2l + 2w = p, so we can plug in some values here.

l = 3x - 5

w = x

[tex]2(3x-5) + 2(x) = 150[/tex]

Now we just have to solve!

[tex]6x - 10 + 2x = 150[/tex]

When we combine like terms and add ten to both sides, we are left with

[tex]8x = 160[/tex], which means x = 20

Using this, that means the width is 20

We can find the perimeter by plugging 20 in for x. [tex]l = 3(20) -5[/tex]

This means the length is 55.

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Answers

Answer: Option 2. Segment TS

====================================================

Explanation:

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In other words,

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Step-by-step explanation:

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Answer:

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

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Answers

Answer:

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[tex]\rule[225]{225}{2}[/tex]

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