The rectangle is divided into four parts V, W, X and Y. The ratio of Part V to Part W is 9 : 2 and the ratio of Part W to Part X is 3 : 2.
- Find the ratio of Part V to Part W to Part X.
- Given that Part Y is 58 m2 , find the area of the rectangle.
(a)
| V |
W |
X |
Y |
| 9x3 |
2x3 |
|
|
| |
3x2 |
2x2 |
|
| 27 u |
6 u |
4 u |
58 m2 |
Part W is the repeated identity.
LCM of 2 and 3 = 6
Part V : Part W : Part X = 27 : 6 : 4
(b)
Part V + Part W = Half of the rectangle
Part X + Part Y = Half of the rectangle
Part V + Part W and Part X + Part Y are equal.
Part V + Part W = Part X + Part Y
27 u + 6 u = 4 u + 58
27 u + 6 u - 4 u = 58
29 u = 58
1 u = 58 ÷ 29 = 2
Area of the rectangle
= 2 x (4 u + 58)
= 2 x (4 x 2 + 58)
= 2 x (8 + 58)
= 2 x 66
= 132 m
2 Answer(s): (a) 27 : 6 : 4; (b) 132 m
2 
