+1911 In the diagram, PQRS is a trapezoid with an area of 12. RS = 7 and PQ = 28. What is the area of triangle PQS?
+129852 It looks like RS should be 28 and PQ = 7
Area of trapezoid = (1/2)(height of triangle QSR) ( sum of base lengths)
12 = (1/2)(height of triangle QSR) ( 28 + 7)
12 = (35/2) ( height of triangle QSR)
12 ( 2 / 35) = height of triangle QSR
24/35 = height of triangle QSR
Area of triangle QSR = (1/2)RS (height of QSR) = (1/2)(28)(24/35) = (14/ 35)*24 = (2/5) (24) = 48/5 = 9.6
[PQS ] = area of trapezoid - area of triangle QSR = 12 - 9.6 = 2.4
