Two rectangles J and K, not drawn to scale, overlap at L. L is the shaded area which is
12 of Rectangle J and
110 of Rectangle K. If the length of Rectangle J is 15 cm and its breadth is 10 cm, what is the area of the unshaded part of rectangles J and K?
|
J |
K |
Difference |
Total areas |
2 u |
10 u |
8 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
1 u |
9 u |
8 u |
The overlapping shaded part of rectangles J and K is the same.
Area of Rectangle J
= 15 x 10
= 150 cm
2 Area of Rectangle J = 2 u
Area of Rectangle K = 10 u
2 u = 150
1 u = 150 ÷ 2 = 75
Area of unshaded parts of rectangles J and K
= 1 u + 9 u
= 10 u
= 10 x 75
= 750 cm
2 Answer(s): 750 cm
2