What is the area, in square units, of the shaded region?Įstimate by calculating the area of a 6 x 6 square surrounding the shaded figure, then counting and subtracting the unshaded squares within that 36 unit area: roughly 18 squares. In the shaded region, each vertex lies on a vertex of a small square. In the grid shown below, each small square has a side length of 1 unit. Want more ACT questions? Sign up for a free ACT practice test. You can eliminate choices (F), (G), and (K) because they don't use the elapsed time clocked at the end of the race. The total elapsed time from point S to point F is t F. You can eliminate choices (F), (G), and (J) because they don't include the entire length of the racecourse. The total number of miles he covers is the distance from starting point S to finish line F, which is SF. You can determine Pierre's average speed, in miles per hour, by dividing his total mileage by his total time. (F) SA ⁄ t A (G) SB ⁄ t B (H) SF ⁄ t F (J) SA ⁄ t F (K) SF ⁄ t A If the distance, in miles, between points S and A along the racecourse is denoted by SA, then what is Pierre's average speed for this race, in miles per hour? The judges use a stopwatch to record his elapsed times of t A, t B, and t F, respectively. He begins swimming at starting point S and swims straight across the lake, gets on his bicycle at station A, bikes to station B, and then runs to finishing line F. Pierre competes in a triathlon, along a course as shown in the figure below. You may use your calculator for any problems you choose, but some of the problems may best be done without using a calculator. You are permitted to use a calculator for these questions. COVID-19 Update: To help students through this crisis, The Princeton Review will continue our "Enroll with Confidence" refund policies.
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