Question

A square poster has a side length of 26 in. Drawn on the poster are four identical triangles. Each triangle has a base of 8 in. and a height of 8 in. Children play a game in which they each wear a blindfold and throw a dart at the poster. A player whose dart lands inside a triangle wins a prize. Assuming that a player's dart will always land on the poster, what is the probability of the dart landing in a triangle? Enter your answer, as a decimal rounded to the nearest hundredth, in the box. P(a point on a triangle) =

Answer 1

Total area of the poster = 26^2 = 676 square inches
 area of 1 triangle = 1/2 x 8 x 8 = 32 square inches
 area of the 4 triangles = 32 *4 = 128 square inches

probability of getting the dart in a triangle =  128 / 676 = 0.189

rounded to nearest hundredth = 0.19