Respuesta :
Answer:
[tex]978\frac{1}{2}\text{ inches}^2[/tex].
Step-by-step explanation:
We have been given that a lumber yard has a scrap sheet of plywood that is 23 3/4 inches by 41 1/5 inches long.
Since plywood is in shape of rectangle, so to find the area of plywood we will multiply the length of plywood by its width.
[tex]\text{Area of rectangle}=\text{Length*Width}[/tex]
[tex]\text{Area of plywood}=23\frac{3}{4}\text{ inches}\times 41\frac{1}{5}\text{ inches}[/tex]
Let us convert our mixed fractions into improper fractions.
[tex]\text{Area of plywood}=\frac{95}{4}\text{ inches}\times \frac{206}{5}\text{ inches}[/tex]
[tex]\text{Area of plywood}=\frac{95}{4}\times \frac{206}{5}\text{ inches}\times \text{inches}[/tex]
Upon cancelling out greatest common factors we will get,
[tex]\text{Area of plywood}=\frac{19}{2}\times 103\text{ inches}^2[/tex]
[tex]\text{Area of plywood}=\frac{1957}{2}\text{ inches}^2[/tex]
Now let us convert our answer into mixed fraction.
[tex]\text{Area of plywood}=978\frac{1}{2}\text{ inches}^2[/tex]
Therefore, the area of plywood is [tex]978\frac{1}{2}\text{ inches}^2[/tex].
