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
First, calculate the perimeter of the triangle:
Perimeter = 8 + 5.5 + 4.5 = 18 inches
Since the rectangle will have the same perimeter, the perimeter of the rectangle is also 18 inches.
Let x be the length of one side of the rectangle and y be the length of the other side. The perimeter of a rectangle is given by:
Perimeter = 2x + 2y
Now we know:
2x + 2y = 18
Divide by 2:
x + y = 9
We want to find the combined length of the two adjacent sides of the rectangle, which is x + y:
x + y = 9
Thus, the combined length of the two adjacent sides of a rectangle with the same perimeter is 9 inches.