Answer:
D
Step-by-step explanation:
The perimeter of a rectangle is given by the formula:
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:
We also know that the perimeter is 108. So, substitute that for P:
Solve for s. We can first divide everything by 2:
Combine like terms:
Add or subtract:
Add 18 to both sides:
Divide both sides by 6:
So, the value of s is 12.
Now, substitute this back in to find our length and width:
Substitute 12 for s:
Multiply and subtract:
Now, let's find the width:
Substitute 12 for s:
Multiply and subtract:
So, our length is 19 and our width is 35.
The choice that reflects this is D.
And we're done!