Question

The perimeter of a rectangle is 24 inches. If the length of

the rectangle is less than the width of the
rectangle, which of the following best illustrates the
domain for the length of this rectangle?

Answer 1

Option B

Explanation:

Let the length of the rectangle = l inches

And width of the rectangle = w inches

Perimeter = 2(l + w) = 24 inches

(l + w) = 12

w = 12 - l --------(1)

Length of the rectangle is less than the width,

l < w

By substituting the value of w from equation (1),

l < 12 - l

2l < 12

l < 6

Since, length of the rectangle will be greater than zero,

l > 0

Inequality that best illustrate the domain of the length will be,

0 < l < 6

Option (B) will be the answer.