The rectangle is divided into four parts V, W, X and Y. The ratio of Part V to Part W is 6 : 5 and the ratio of Part W to Part X is 3 : 1.
- Find the ratio of Part V to Part W to Part X.
- Given that Part Y is 28 m2 , find the area of the rectangle.
(a)
V |
W |
X |
Y |
6x3 |
5x3 |
|
|
|
3x5 |
1x5 |
|
18 u |
15 u |
5 u |
28 m2 |
Part W is the repeated identity.
LCM of 5 and 3 = 15
Part V : Part W : Part X = 18 : 15 : 5
(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
18 u + 15 u = 5 u + 28
18 u + 15 u - 5 u = 28
28 u = 28
1 u = 28 ÷ 28 = 1
Area of the rectangle
= 2 x (5 u + 28)
= 2 x (5 x 1 + 28)
= 2 x (5 + 28)
= 2 x 33
= 66 m
2 Answer(s): (a) 18 : 15 : 5; (b) 66 m
2