SOLUTION: P,Q,R, and S are midpoints of AB, BC, CD and AD respectively of square ABCD. P,Q,R, and S are joined by segments to form a rectangle. If the length of each side of the square ABCD

Algebra ->  Rectangles -> SOLUTION: P,Q,R, and S are midpoints of AB, BC, CD and AD respectively of square ABCD. P,Q,R, and S are joined by segments to form a rectangle. If the length of each side of the square ABCD      Log On


   



Question 1012989: P,Q,R, and S are midpoints of AB, BC, CD and AD respectively of square ABCD. P,Q,R, and S are joined by segments to form a rectangle. If the length of each side of the square ABCD is 3cm, what is the area of the rectangle PQRS?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
to find the area of the rectangle PQRS we need the length of the side
P,Q,R, and S are midpoints of AB, BC, CD and AD respectively of square ABCD.
So, that the quadrilateral PQRS is square (special case of rectangle) inscribed in the square ABCD


If the length of each side of the square ABCD is 3cm, then the length of the side PQRS is
the area of the rectangle PQRS is:A=%28sqrt%284.5cm%5E2%29%29%5E2=4.5cm