Final answer:
The area of the triangle PAM, where M is the centroid, is obtained by using the given measurements and understanding that a centroid divides medians in the ratio 2:1. The area is calculated to be 153 square units.
Step-by-step explanation:
The question pertains to the calculation of the area of triangle PAM, with M being the centroid of the triangle. Given that CM=7, PM=10, and BQ=18, we know that the centroid of a triangle divides the medians in the ratio 2:1. Therefore, AM would be a total length of CM and PM, which is 17. Given the formula for calculating the area of a triangle, 1/2 * base * height, if we assume BQ is the height of the triangle, we'd substitute the values and get the area as 1/2 * 18 * 17 which equals 153. Hence, the area of triangle PAM is 153 square units.
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