a rectangle has a perimeter of 18 inches. a new rectangle is formed by doubling the with W in tripling the length L as shown the new rectangle has a perimeter P of 46 inches

Let Original rectangle has length L and Width W.

Perimeter = 18 inches

→2 (L+W) = 18

Dividing both sides by 2, we get

L+W=9 ... (1)

Now, new rectangle is formed by doubling the width Wand tripling the length L.

New length=3 L

New Breadth=2W

New perimeter=46 inches

→2 (3 L+2W) = 46

Dividing both sides by 2, we get

3L + 2W=23

→L=9-W [Using 1]

Substituting in (2), we get

3 (9-W) + 2W=23

27-3W+W=23

W=27-23

W=4

and L=9-4=5 inches

So, Original rectangle has Length=5 inches, and Width=4 inches