SAT Math Multiple Choice Practice Question 545: Answer and Explanation
2. A rectangle with length 16 and width 6 has an area that is 3 times the area of a triangle with height 8. What is the length of the base of the triangle?
Correct Answer: B
B If a rectangle has length 16 and width 6, then its area will be the length times the width, or 16 × 6, which equals 96. If this is 3 times the area of a triangle, then the triangle will have an area of 32. If a triangle with area 32 has height of 8, you can use the triangle formula for area of a triangle to find the base: × base × height = area. 32 = b × 8, so base × 4 = 32. This means that the base is equal to 8.