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. SUMMERY. SHOW YOUR WORK
WRITE LIKE A 6TH GRADER
First, we need to find the perimeter of the triangle by adding the lengths of all three sides together.
8 + 5.5 + 4.5 = 18 inches
Next, we need to find the length of each side of the rectangle. Since the rectangle has the same perimeter as the triangle, the total perimeter of the rectangle is also 18 inches.
Let's use "l" to represent the length of the rectangle and "w" to represent the width of the rectangle. The perimeter of a rectangle is calculated using the formula P = 2(l + w).
Since P = 18 inches, we can set up the equation as follows:
18 = 2(l + w)
To find the combined length of the two adjacent sides of the rectangle, we need to add l and w together.
Let's solve for l + w:
18 = 2(l + w)
9 = l + w
So, the combined length of the two adjacent sides of the rectangle is 9 inches.