Reynaldo cut a triangle out of paper. The lengths of the sides of the triangle are 8 inches, 5.5 inches, and 4.5 inches. Next, he wants to cut out a rectangle that will have the same perimeter as the triangle. Calculate the combined length of the two adjacent sides of a rectangle with the same perimeter. Show your work.(2 points)
To calculate the perimeter of the triangle, we add the lengths of all three sides:
Perimeter of triangle = 8 + 5.5 + 4.5 = 18 inches
Since the rectangle will have the same perimeter as the triangle, the perimeter of the rectangle will also be 18 inches.
Let the length of the rectangle be L and the width be W. The perimeter of a rectangle is given by:
Perimeter of rectangle = 2(L + W)
Given that the perimeter of the rectangle is 18 inches, we have:
2(L + W) = 18
L + W = 18/2
L + W = 9
We know that the combined length of the two adjacent sides of the rectangle is L + W. Therefore, the combined length of the two adjacent sides of the rectangle with the same perimeter as the triangle is 9 inches.