Question

Help with this question, please!! I don't understand!!

Answer 1

Answer:

$P=(19+50x)ft$

Step-by-step explanation:

A rectangle is a quadrilateral whose angles are all right angles. In this problem, we have a rectangle whose height $h=9ft$ and whose area is $A=225xft^{2}$. We don't know the other side of the rectangle, but let's call it $w$. So the area of a rectangle is:

$A=h.w$

The perimeter is the distance around a shape in two dimensions. For our rectangle, our perimeter is:

$P=2h+2w$

So our goal is to find $w$. From the equation of the area:

$w=\frac{A}{h} \\ \\ w=\frac{225x}{9}=25x$

If we substitute both this value and the height in the equation of the perimeter we get:

$P=2(9+25x)ft \\ \\ \boxed{P=(19+50x)ft}$