The rectangle is divided into four parts V, W, X and Y. The ratio of Part V to Part W is 7 : 4 and the ratio of Part W to Part X is 4 : 1.
- Find the ratio of Part V to Part W to Part X.
- Given that Part Y is 80 m2 , find the area of the rectangle.
(a)
| V |
W |
X |
Y |
| 7x1 |
4x1 |
|
|
| |
4x1 |
1x1 |
|
| 7 u |
4 u |
1 u |
80 m2 |
Part W is the repeated identity.
LCM of 4 and 4 = 4
Part V : Part W : Part X = 7 : 4 : 1
(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
7 u + 4 u = 1 u + 80
7 u + 4 u - 1 u = 80
10 u = 80
1 u = 80 ÷ 10 = 8
Area of the rectangle
= 2 x (1 u + 80)
= 2 x (1 x 8 + 80)
= 2 x (8 + 80)
= 2 x 88
= 176 m
2 Answer(s): (a) 7 : 4 : 1; (b) 176 m
2 
