MGS (Paya Lebar) Pri School P6 Math CA1 2006 (Q47)

The areas of Figure A and Figure B are equal. Figure A is made up of a square consisting Rectangles P, Q and 6 similar and smaller rectangles. Figure B is another square made up of 4 similar rectangles and Rectangle P. The area of Rectangle Q is thrice the area of each small rectangle.

a) Find the area of Figure 1
b) Find the length and breadth of Figure 2




Solution


Q(a)

Area of Figure B is = 12 cm x 12 cm = 144 square cm.

Q(b)

The length and breadth of Rectangle Q is

Length = 9 cm
Breadth = 4 cm