The rectangle is divided into four parts W, X, Y and Z. The ratio of Part W to Part X is 6 : 1 and the ratio of Part X to Part Y is 4 : 1.
- Find the ratio of Part W to Part X to Part Y.
- Given that Part Z is 27 m2 , find the area of the rectangle.
(a)
| W |
X |
Y |
Z |
| 6x4 |
1x4 |
|
|
| |
4x1 |
1x1 |
|
| 24 u |
4 u |
1 u |
27 m2 |
Part X is the repeated identity.
LCM of 1 and 4 = 4
Part W : Part X : Part Y = 24 : 4 : 1
(b)
Part W + Part X = Half of the rectangle
Part Y + Part Z = Half of the rectangle
Part W + Part X and Part Y + Part Z are equal.
Part W + Part X = Part Y + Part Z
24 u + 4 u = 1 u + 27
24 u + 4 u - 1 u = 27
27 u = 27
1 u = 27 ÷ 27 = 1
Area of the rectangle
= 2 x (1 u + 27)
= 2 x (1 x 1 + 27)
= 2 x (1 + 27)
= 2 x 28
= 56 m
2 Answer(s): (a) 24 : 4 : 1; (b) 56 m
2 
