The rectangle is divided into four parts F, G, H and J. The ratio of Part F to Part G is 9 : 2 and the ratio of Part G to Part H is 3 : 2.
- Find the ratio of Part F to Part G to Part H.
- Given that Part J is 87 m2 , find the area of the rectangle.
(a)
| F |
G |
H |
J |
| 9x3 |
2x3 |
|
|
| |
3x2 |
2x2 |
|
| 27 u |
6 u |
4 u |
87 m2 |
Part G is the repeated identity.
LCM of 2 and 3 = 6
Part F : Part G : Part H = 27 : 6 : 4
(b)
Part F + Part G = Half of the rectangle
Part H + Part J = Half of the rectangle
Part F + Part G and Part H + Part J are equal.
Part F + Part G = Part H + Part J
27 u + 6 u = 4 u + 87
27 u + 6 u - 4 u = 87
29 u = 87
1 u = 87 ÷ 29 = 3
Area of the rectangle
= 2 x (4 u + 87)
= 2 x (4 x 3 + 87)
= 2 x (12 + 87)
= 2 x 99
= 198 m
2 Answer(s): (a) 27 : 6 : 4; (b) 198 m
2 
