Question

The perimeter of a rectangle is less than or equal to 50 inches. The length of the rectangle is 10 inches. What inequality represents the possible values of the width of the rectangle?

Answer 1

w ≤ 15

Explanation:

A rectangle is shape with 4 sides where 2 pairs of sides are equal and form 4 perpendicular angles. 1 pair of sides is the width and is distance w. 1 pair of sides is the length and is 10 inches. The total distance around the shape is the perimeter. We know the perimeter is 50 inches or less. Add each side together and let it be less than or equal to 50. Then solve for w.

P ≥ l + l + w + w

50 ≥ 10 + 10 + w + w

50 ≥ 20 + 2w

30 ≥ 2w

15 ≥ w