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

Question

Mathematics

Schmitt

24 August, 23:01

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

+5

Answers (2)

Know the Answer?

Katherine Levy · Answer 1

The answer is A.) Length = 15, width = 9.

9x2 = 18, 18 - 3 = 15

15 x 2 = 30, 9 x 2 = 18

18 + 30 = 48.

Luna Friedman · Answer 2

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

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 cmlength = 12 cm; width = 12 cmlength = 11 cm; width = 7 cmlength = 14 cm; width = 10 cm

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