Question

A square has a perimeter of 60 yd. what is the length of each side ?​

Answer 1

`\large\boxed{\tt Length \ Of \ Each \ Side = 15 \ yd.}`

Explanation:

`\textsf{We are asked to find the sides of a Square, given the Perimeter.}`

`\large\underline{\textsf{What is a Square?}}`

`\textsf{A Square is a Quadrilateral with 4 congruent sides. This means that the Perimeter}`

`\textsf{is multiplied by 4.}`

`\large\underline{\textsf{What is Perimeter?}}`

`\textsf{Perimeter is the sum of all the edges of a shape. Think of Perimeter as the length}`

`\textsf{of a whole fence that is connected.}`

`\underline{\textsf{How are we able to find Perimeter?}}`

`\textsf{Perimeter is the sum of all the sides of a shape. This means that;}}`

`\tt Perimeter= All \ Sides \ Added \ Together`

`\underline{\textsf{For our problem;}}`

`\textsf{A Square has 4 congruent sides. This means that;}`

`\tt Perimeter=4 * (Length \ Of \ Sides)`

`\large\underline{\textsf{Solving;}}`

`\tt Perimeter=4 * (Length \ Of \ Sides)`

`\textsf{We are given that 60 yd. is the Perimeter.}`

`\tt 60 \ yd.=4 * (Length \ Of \ Sides)`

`\textsf{Finding the lengths of all the sides is simple. We should remove the 4 from the right}`

`\textsf{side of the equation. To do so, we should use the Inverse Operation of Multiplication}`

`\textsf{which is Division. There is a property that allows us to manipulate equations as such.}`

`\textsf{The \underline{Division Property of Equality} states that when 2 equal expressions are divided}`

`\textsf{by the same constant, then both expressions will still be equal.}`

`\textsf{Let's use the Division Property of Equality to find the length of each side.}`

`\underline{\textsf{Divide each expression by 4;}}`

`\tt (60 \ yd.)/(4) =\frac{\\ot{4} * (Length \ Of \ Sides)}{\\ot{4}}`

`\large\boxed{\tt Length \ Of \ Each \ Side = 15 \ yd.}`