The figure is made up of 2 squares of different sizes. The area of the small square is 75% of the area of the big square. The overlapped shaded area is 105 cm
2. The area of the unshaded small square is
25 the area of the unshaded big square. Find the area of the big square.
|
Area of the small square |
Area of the big square |
Difference |
Total Area |
3x3 = 9 u |
4x3 = 12 u |
1x3 = 3 u |
Shaded Area |
7 u |
7 u |
|
Unshaded Area |
2x1 = 2 u |
5x1 = 5 u |
3x1 = 3 u |
75% =
75100 =
34The difference remains unchanged.
LCM of 1 and 3 = 3
Shaded area
= 9 u - 2 u
= 7 u
7 u = 105
1 u = 105 ÷ 7 = 15
Area of the big square
= 12 u
= 12 x 15
= 180 cm
2 Answer(s): 180 cm²