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 10 cm
2. The area of the unshaded small square is
29 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 |
1x7 = 7 u |
2x7 = 14 u |
1x7 = 7 u |
Shaded Area |
5 u |
5 u |
|
Unshaded Area |
2x1 = 2 u |
9x1 = 9 u |
7x1 = 7 u |
50% =
50100 =
12The difference remains unchanged.
LCM of 1 and 7 = 7
Shaded area
= 7 u - 2 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Area of the small square
= 7 u
= 7 x 2
= 14 cm
2 Answer(s): 14 cm²