Answer:
The length of each side should be \(2\frac{3}{4}\) feet.
Step-by-step explanation:
Consider the provided information.
We need to Use three mixed numbers as side lengths draw an equilateral triangle with a perimeter of 8 and 1/4 feet.
Let the length of each side is x.
Therefore, the perimeter of equilateral triangle will be: x+x+x = 3x
It is given that the perimeter is \(8\frac{1}{4}\) so we can find the value of x as shown:
\(3x=8\frac{1}{4}\)
\(3x=\frac{33}{4}\\x=\frac{33}{12}\)
The length of each side should be 33/12.
Convert the length into mixed fraction.
\(\frac{33}{12}=2\frac{9}{12}=2\frac{3}{4}\)
Hence, the length of each side should be \(2\frac{3}{4}\) feet.
Now draw the figure.
Step 1: Draw a straight line with the length of 2.75( \(2\frac{3}{4}\)) unit .
Step 2: Span the segment with compass and trace a quarter-circle arc from both the end.
Step 3: Connect the point where two arc cross to the end of the straight line.
The required figure is shown below:
