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Leni [432]
3 years ago
9

Anyone know how to do this?

Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0

Answer: \frac{10}{r+5}

The perimeter of a rectangle is given by the following formula:

P_{rectangle}=2w+2L   (1)

Where w is the width of the rectangle and L its length.

According to the image:

w=\frac{2}{r+5}   (2)

L=\frac{3}{r+5}   (3)

So, if we want to find an expression for the perimeter, we have to substitute equations (2) and (3) in (1):

P_{rectangle}=2(\frac{2}{r+5})+2(\frac{3}{r+5})   (4)

Solving and simplifying:

P_{rectangle}=\frac{10}{r+5} >>>This is the expression

Therefore, the correct answer is option B.

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