Question

area of percentthe answer is divided in to a( b) and c)

Answer 1

Answer:

THE AMOUNT OF WASTE IS 61.8 square inches

THE PERCENT OF THE ORIGINAL STOCK THAT WAS WASTED IS 21.46

THE MATERIAL COST OF EACH CUT OUT CIRCLE IS $5.95

Explanation:

The area of the rectangle is:

$A=LW$

Where L is the length, and W is the width.

$\begin{gathered} A=24\times12 \\ =288in^2 \end{gathered}$

The area one of the cirlces is:

$A=\pi r^2$

Where r is the radius, which measures 6 inches

$\begin{gathered} A=6^2\pi \\ \\ =36\pi \\ \approx113.1 \end{gathered}$

The area of both circles is therefore, twice the area of one of the circles.

This is

$\begin{gathered} 2(36\pi)=72\pi \\ \approx226.2 \end{gathered}$

THE AMOUNT OF WASTE IS:

$\begin{gathered} 288-72\pi \\ \\ \approx61.8 \end{gathered}$

THE PERCENT OF THE ORIGINAL STOCK THAT WAS WASTED IS:

$\begin{gathered} \frac{61.8}{288}\times100 \\ \\ \approx21.46\text{ percent} \end{gathered}$

The whole stock, which is 228 square inches cost $12

We want to find the cost of each cut out circle, that is 113.1

THE MATERIAL COST OF EACH CUT OUT CIRCLE IS:

$\begin{gathered} \frac{12\times113.1}{228} \\ \\ \approx5.95 \end{gathered}$

The cost is $5.95