The figure is made up of 2 squares of different sizes. The area of the small square is 50% of the area of the big square. The overlapped shaded area is 9 cm
2. The area of the unshaded small square is
27 the area of the unshaded big square. Find the area of the small square.
|
Area of the small square |
Area of the big square |
Difference |
Total Area |
1x5 = 5 u |
2x5 = 10 u |
1x5 = 5 u |
Shaded Area |
3 u |
3 u |
|
Unshaded Area |
2x1 = 2 u |
7x1 = 7 u |
5x1 = 5 u |
50% =
50100 =
12The difference remains unchanged.
LCM of 1 and 5 = 5
Shaded area
= 5 u - 2 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Area of the small square
= 5 u
= 5 x 3
= 15 cm
2 Answer(s): 15 cm²