Question

(1) Find each of the following ratios in its simplest form

(a) 58 minutes to 1 hour (b) 2.8 kg to 6 kg

(2) Find the value of x in each of the following proportions :

(a) 5 ∶ 8 ∶∶ 25 ∶ (b) 57 ∶ ∶∶ 51 ∶ 83

(3) Find the perimeter of a rectangle in which length = 27.6 m and breadth = 5m 3cm.​

Answer 1

Step-by-step explanation:

(I)1 hour = 60 minute

= 58/60

= 29:30

(ii) let the other no. be x

(a) 5:8::25:x

=5×x = 8×25

x= 8×25/5

x = 8×5

x= 40

(b) 57:x::51:83

• x×51= 83×57
• x = 83×57/51
• x = 19×83/17
• x = 1577/17

(iii) length = 27.6m

breath = 5.3m

perimeter of rectangle= 2×(l+b)

• 2×(27.6+5.3)
• 2×32.9
• 65.8m

hope it helps you