Question

The rectangle ABCD is cut at the point P, 4 units to the right of B and at the point R, 3 units below B to form the smaller rectangle BPQR. Find the correct coordinates of point Q. The coordinates of the points A, B, C and D are as given:

A(1,3); B(1,9); C(9,9); D(9,3)

• A. Q(5,7)
• B. Q(6,5)
• C. Q(5,6)
• D. Q(7,5)

Answer 1

The correct option is C Q(5,6)

Plotting the given points and connecting them, we find:


Now, the rectangle is cut at two places. At P, which is 4 units to the right of B and at R, which is 3 units below B.


Making these cuts meet, we get the smaller rectangle BPQR as:


Hence, the coordinates of the point Q are (5,6)