Question

The length of a rectangle is 3 centimeters less than twice its width. The perimeter of the rectangle is 48 cm. What are the dimensions of the rectangle?

length = 15 cm; width = 9 cm

length = 12 cm; width = 12 cm

length = 11 cm; width = 7 cm

length = 14 cm; width = 10 cm

Answer 1

L=2W-3 and P=2(L+W) and using L from the first equation in the second equation you get:

P=2(2W-3+W)

P=2(3W-3)

P/2=3W-3

P/6=W-1

W=(P/6)+1, and since we are told that P=48:

W=(48/6)+1

W=9cm, and since L=2W-3

L=15cm

So length=15cm and width=9cm

Answer 2

The answer is A.) Length = 15, width = 9.
9x2 = 18, 18 - 3 = 15
15 x 2 = 30, 9 x 2 = 18
18 + 30 = 48.