The perimeter of the rectangle below is 128 units. Find the length of side VW .
Write your answer without variables.

Question

The perimeter of the rectangle below is 128 units. Find the length of side  VW .
Write your answer without variables.

nyasia · Answer

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johnweldon1993 · Answer

We know that the perimeter of a rectangle is

$$\large Perimeter = 2L + 2W$$

If the length = 3y + 1
and the width = 2y + 3 we have

$$\large Perimeter = 2(3y + 1) + 2(2y + 3)$$

That perimeter is 128 so we have

$$\large 128 = 2(3y + 1) + 2(2y + 3)$$

Now we need to solve that equation for 'y'

johnweldon1993 · Answer

can you solve that for 'y' ?

nyasia · Answer

i think i did something wrong

johnweldon1993 · Answer

No you are completely correct!

$$\large 128 = 10y + 8$$

johnweldon1993 · Answer

Now subtract 8 from both sides...and then divide both sides by 10 to solve for 'y'

nyasia · Answer

Thank You So Much !!

johnweldon1993 · Answer

And that would have shown that y = 12...

and to find the length of VW plug in 12 for 'y'

$$\large 3y + 1 \rightarrow 3(12) + 1 = 37$$