Question 1198770
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I'll reference the diagram @lotusjayden has posted.


AB*BC = 15 since the rectangle ABCD has area 15 square units.


AB = AP+PR+RQ+QB
where R is the point of tangency between circles P and Q.


AP = PR as they are radii of circle P
RQ = QB as they are radii of circle Q

So,
AB = AP+PR+RQ+QB
AB = PR+PR+RQ+RQ
AB = 2(PR+RQ)
AB = 2*PQ
PQ = 0.5*AB


Then,
area of triangle PQT = 0.5*base*height
area of triangle PQT = 0.5*PQ*QT
area of triangle PQT = 0.5*(0.5*AB)*BC
area of triangle PQT = 0.25*AB*BC
area of triangle PQT = 0.25*(area of rectangle ABCD)
area of triangle PQT = 0.25*(15)
area of triangle PQT = 3.75 square units
This converts to the improper fraction 15/4.
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