Question

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The bottom of a vase is a square. Each side measures y+11 units. The square has a perimeter of 55 units. What is the value of y ?

please show work.

Answer 1

Answer:

$y=2.75$ units.

Step-by-step explanation:

We have been given that the bottom of a vase is a square. Each side measures y+11 units. The square has a perimeter of 55 units.

Since we know that all sides of square are of equal measure and the perimeter of a square is 4 times the length of each side.

$\text{Perimeter of square}=4\times\text{Length of each side}$

Upon substituting our given values in above formula we will get,

$55=4\times (y+11)$  

Upon distributing 4 we will get,

$55=4y+44$

Upon subtracting 44 from both sides of our equation we will get,

$55-44=4y+44-44$

$11=4y$

Upon dividing both sides of our equation by 4 we will get,

$\frac{11}{4}=\frac{4y}{4}$

$2.75=y$

Therefore, the value of y is 2.75 units.