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 8 cm
2. The area of the unshaded small square is
14 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 |
1x3 = 3 u |
2x3 = 6 u |
1x3 = 3 u |
Shaded Area |
2 u |
2 u |
|
Unshaded Area |
1x1 = 1 u |
4x1 = 4 u |
3x1 = 3 u |
50% =
50100 =
12The difference remains unchanged.
LCM of 1 and 3 = 3
Shaded area
= 3 u - 1 u
= 2 u
2 u = 8
1 u = 8 ÷ 2 = 4
Area of the small square
= 3 u
= 3 x 4
= 12 cm
2 Answer(s): 12 cm²