The rectangle is divided into four parts G, H, J and K. The ratio of Part G to Part H is 7 : 2 and the ratio of Part H to Part J is 3 : 2.
- Find the ratio of Part G to Part H to Part J.
- Given that Part K is 92 m2 , find the area of the rectangle.
(a)
| G |
H |
J |
K |
| 7x3 |
2x3 |
|
|
| |
3x2 |
2x2 |
|
| 21 u |
6 u |
4 u |
92 m2 |
Part H is the repeated identity.
LCM of 2 and 3 = 6
Part G : Part H : Part J = 21 : 6 : 4
(b)
Part G + Part H = Half of the rectangle
Part J + Part K = Half of the rectangle
Part G + Part H and Part J + Part K are equal.
Part G + Part H = Part J + Part K
21 u + 6 u = 4 u + 92
21 u + 6 u - 4 u = 92
23 u = 92
1 u = 92 ÷ 23 = 4
Area of the rectangle
= 2 x (4 u + 92)
= 2 x (4 x 4 + 92)
= 2 x (16 + 92)
= 2 x 108
= 216 m
2 Answer(s): (a) 21 : 6 : 4; (b) 216 m
2 
