Find the dimensions of a rectangle with a perimeter of 94 cm if the length is 2 less than six times the width.
A) The length is 34 cm and the width is 6 cm.
B) The length is 7 cm and the width is 40 cm.
C) The length is 40 cm and the width is 7 cm.
D) The length is 6 cm and the width is 34 cm.
E) The length is 47 cm and the width is 47 cm.

Question

Quizplus · Accepted Answer

Let the width be x, then the length is (6x-2). 
The perimeter is 2(l+w), so 2(x+6x-2)=94. 
Combining like terms, simplifying, and solving for x gives x=7. 
Therefore, the width is 7 cm and the length is 6(7)-2=40 cm. 
Thus, choice C is the correct answer.

Find the Dimensions of a Rectangle with a Perimeter of 94