Question 17

Explanation

Finding the Relation between $p$ and $l$

Given that the perimeter of the rectangle is $6l$. The formula for the perimeter of a rectangle is $2(p + l)$ or $2p + 2l$. Thus:

Finding the Value of $l$

Next, it is known that the area of the rectangle is $32$. The formula for the area is $p \times l$. We substitute $p = 2l$ into the area formula:

Calculating the Value of $p$

After obtaining the value $l = 4$, we substitute it back into the equation $p = 2l$:

So, the value of $p$ is $8$.