Question

A square plywood platform has a perimeter which is 11 times the length of a side decrease by 35 find the length of a side (p= 4L)

Answer 1

The rule of the perimeter of the square is

`P=4L`

L is the length of its side

Since the perimeter is 11 times the length decrease by 35

Then multiply L by 11, then subtract 25 from the product

`\begin{gathered} P=11* L-35 \\ P=11L-35 \end{gathered}`

Substitute the value of P in the rule above

`11L-35=4L`

Add 35 to both sides

`\begin{gathered} 11L-35+35=4L+35 \\ 11L=4L+35 \end{gathered}`

Now, subtract 4L from both sides

`\begin{gathered} 11L-4L=4L-4L+35 \\ 7L=35 \end{gathered}`

Divide both sides by 7

`\begin{gathered} (7L)/(7)=(35)/(7) \\ L=5 \end{gathered}`

The length of the side of the square is 5 units