Question

The perimeter of the rectangle below is 94 units. Find the length of side WX.

Write your answer without variables.

Answer 1

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First we need to find the value of y .

`Perimeter = 2 * ( \: (4y + 3) + (5y - 1) \: ) \\`

`Perimeter = 2 * (9y + 2)`

`Perimeter = 18y + 4`

Question told us that perimeter is 94 ,

Thus :

`94 = 18y + 4`

`18y + 4 = 94`

Subtract sides 4

`18y + 4 - 4 = 94 - 4`

`18y = 90`

Divide sides by 18

`(18y)/(18) = (90)/(18) \\`

`y = 5`

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The face sides in the rectangular are same.

Thus :

`VY = WX`

So ;

`WX = 5y - 1`

`WX = 5(5) - 1`

`WX = 25 - 1`

`WX = 24`

Done...

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Answer 2

24units

Explanation:

2(4y + 3) + 2(5y - 1) = 94

18y + 4 = 94

y = 5

WX = 5y - 1 = 5(5) - 1 = 24units