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. S
ince the perimeter of the triangle is the sum of the lengths of its sides, the perimeter is 8 + 5.5 + 4.5 = 18 inches.
To find a rectangle with the same perimeter, we need to find the dimensions of the rectangle that add up to 18 inches. Let the length of the rectangle be L and the width be W. Since the perimeter of a rectangle is P = 2L + 2W, we have:
2L + 2W = 18
Dividing by 2 on both sides, we get:
L + W = 9
Since the rectangle has two adjacent sides, the combined length of the two adjacent sides is 9 inches.