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If you know this answer plz help me out asap​

If you know this answer plz help me out asap​-example-1

2 Answers

3 votes

Answer:

the answer is D.

Explanation:

(2s-5+4s-13)*2=108

(6s-18)*2=108

12s-36=108

12s=108+18

s=12

2*12-5=24-5=19 mi

4*12-13=48-13=35 mi

User Asif Asghar
by
4.9k points
4 votes

Answer:

D

Explanation:

The perimeter of a rectangle is given by the formula:


P=2(l+w)

From our figure, our length is (2s-5) and our width is (4s-13). So, let's substitute (2s-5) for l and (4s-13) for w. This yields:


P=2((2s-5)+(4s-13))

We also know that the perimeter is 108. So, substitute that for P:


108=2(2s-5+4s-13)

Solve for s. We can first divide everything by 2:


54=2s-5+4s-13

Combine like terms:


54=(2s+4s)+(-5-13)

Add or subtract:


54=6s-18

Add 18 to both sides:


72=6s

Divide both sides by 6:


s=12

So, the value of s is 12.

Now, substitute this back in to find our length and width:


l=2s-5

Substitute 12 for s:


l=12(2)-5

Multiply and subtract:


l=24-5=19

Now, let's find the width:


w=4s-13

Substitute 12 for s:


w=4(12)-13

Multiply and subtract:


w=48-13=35

So, our length is 19 and our width is 35.

The choice that reflects this is D.

And we're done!

User Pradeep Kachhawaha
by
5.2k points