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
