The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?
(A)length = 4 cm; width = 9 cm
(B)length = 7 cm; width = 6 cm
(C)length = 5 cm; width = 5 cm
(D)length = 6 cm; width = 7 cm

Question

The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?
(A)length = 4 cm; width = 9 cm
(B)length = 7 cm; width = 6 cm
(C)length = 5 cm; width = 5 cm
(D)length = 6 cm; width = 7 cm

zepdrix · Answer

|dw:1363408317500:dw|
Ok so here is our rectangle.
Understand how I labeled those sides?

Let's recall the formula for Perimeter of a rectangle.
It's the distance around the object.$$\huge \color{orangered}{P}=2\color{royalblue}{\ell}+2w$$