Question

A square wrestling mat has a perimeter of 12x + 32 feet. Write an expression that represents the side length of the mat in feet.

Answer 1

Answer:
`3x+8\ ft`

Explanation:

Given

Square wrestling has a perimeter of 12x+32 feet

Suppose the side of the square mat is a

Perimeter is the sum of the side lengths of a polygon

for square, it is given by

`\Rightarrow 4a=12x+32\\\\\Rightarrow a=(12x+32)/(4)\\\\\Rightarrow a=3x+8\ ft`

Therefore, the side length of the square mat is
`3x+8\ ft`