The sides of a rectangle are in the ratio 5:2. Find the longer side , when the shorter side is (a)6cm (b)10cm (c)14cm (d)1cm
The sides of the rectangle are in the ratio 5:2. Let's call the shorter side x cm, and the longer side y cm.
(a) When the shorter side is 6 cm:
The ratio of the shorter side to the longer side is 5:2. Since the shorter side is 6 cm, we can set up the equation 6/y = 5/2 and cross-multiply to get 2 * 6 = 5y. Solving for y, we find that y = 12 cm.
(b) When the shorter side is 10 cm:
Following the same process as above, we set up the equation 10/y = 5/2 and cross-multiply to get 2 * 10 = 5y. Solving for y, we find that y = 20 cm.
(c) When the shorter side is 14 cm:
Using the same method as above, we set up the equation 14/y = 5/2. Cross-multiplying, we get 2 * 14 = 5y. Solving for y, we find that y = 28 cm.
(d) When the shorter side is 1 cm:
With the shorter side being 1 cm, we set up the equation 1/y = 5/2 and cross-multiply to get 2 * 1 = 5y. Solving for y, we find that y = 2/5 cm.
So, the ratios of the shorter side to the longer side for each scenario are as follows:
(a) 6:12
(b) 10:20
(c) 14:28
(d) 1:2/5
Therefore, the longer side for each scenario is:
(a) 12 cm
(b) 20 cm
(c) 28 cm
(d) 2/5 cm