This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Analyze the rectangle for Question 3. The rectangle is divided into 4 parts by thick lines. • The top-left part has 3 squares across and 2 squares down, so it contains 3 × 2 = 6 small squares. • The top-right part has 3 squares across and 2 squares down, so it contains 3 × 2 = 6 small squares. • The bottom-left part has 3 squares across and 2 squares down, so it contains 3 × 2 = 6 small squares. • The bottom-right part has 3 squares across and 2 squares down, so it contains 3 × 2 = 6 small squares. 3) Yes, the 4 parts of the rectangle are equal in area. Each part contains 6 small squares. Step 2: Determine the total number of squares for Question 4. The rectangle is 6 squares wide and 4 squares high. Total number of squares = 6 × 4 = 24 squares. Step 3: Determine the number of shaded squares. Count the gray shaded squares: there are 4 shaded squares. Step 4: Calculate the fraction of the rectangle that is shaded gray. Fraction shaded = Number of shaded squaresTotal number of squares (4)/(24) Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. (4 ÷ 4)/(24 ÷ 4) = (1)/(6) 4) The fraction of the rectangle that is shaded gray is (1)/(6).