If the perimeter of a rectangle is 66 inches, then the relationship between the length l and the width w is given by the equation . What is the length when the width is 11 inches?
A) 23 inches
B) 4 inches
C) 22 inches
D) 44 inches
E) 11 inches

Question

If the perimeter of a rectangle is 66 inches, then the relationship between the length l and the width w is given by the equation  . What is the length when the width is 11 inches?
A) 23 inches 
B) 4 inches 
C) 22 inches 
D) 44 inches 
E) 11 inches

Quizplus · Accepted Answer

Let L be the length and W be the width of the rectangle.

The perimeter of a rectangle is given by:

Perimeter = 2(L+W)

We are told that the perimeter is 66 inches, so:

66 = 2(L+ W)

Dividing both sides by 2:

33 = L + W

Solving for L:

L = 33 - W

If the width is 11 inches, then:

L = 33 - 11 = 22 inches

Therefore, the length L when the width is 11 inches is 22 inches.

The answer is choice C.

If the Perimeter of a Rectangle Is 66 Inches, Then