Question

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

Answer 1

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

Step-by-step explanation:

The area of the rectangle is:

`A=LW`

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

`\begin{gathered} A=24*12 \\ =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} (61.8)/(288)*100 \\ \\ \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} (12*113.1)/(228) \\ \\ \approx5.95 \end{gathered}`

The cost is $5.95