An archery target is shown. The length of a side of the inner square is 6 ft and the length of a side of the outer square is 11 ft. If an arrow target at random, what is the probability that it hits the shaded region? Round to the nearest percent.

The answer is below

Step-by-step explanation:

A square is a quadrilateral (has four sides and four angles). All the sides of a square has equal sides and all the angles of a square are equal with a measure of 90° each.

The area of inner square = length * length = 6 ft * 6 ft = 36 ft²

The area of outer square = length * length = 11 ft * 11 ft = 121 ft²

The probability that the arrow hits the inner square = area of inner square / area of outer square

The probability that the arrow hits the inner square = 36 ft² / 121 ft² = 0.3 = 30%