Question

A piece of wire 20 m long is cut into 2 pieces.
The longer piece is 12 m long. What is the ratio
of the length of the shorter piece to that of the
longer piece?
(a) 3:4 (b) 3:2 (c) 2:5 (d) 2:3
​

Answer 1

the length of shorter piece will be

20-12=8

Now

(length of shorter piece)/(length of longer piece)=8/12=2/3

Answer is (d)

Answer 2

Answer:

Required correct option is d.

Step-by-step-explanation:

It is given that the wire is cut into 2 pieces and the length of longer piece is 12 m .

Since the total length of wire is 20m, sum of length of longer piece and shorter piece should be 20 m.

Therefore,

= > Length of longer piece + Length of shorter piece = 20 m

= > 12 m + length of shorter piece = 20m

= > length of shorter piece = 20 m - 12 m

= > length of shorter piece = 8 m.

The given question asks for the ratio of length of the shorter piece to that of the

longer piece.

So,

= > Required ratio = ( length of shorter piece ) : ( length of longer piece )

From above,

length of shorter piece = 8 m and length of longer piece = 12 m.

= > Required ratio = 8 m / 12 m

= > Required ratio = 8 / 12

= > Required ratio = 2 / 3 = 2 : 3

Hence the required ratio of length of the shorter piece to that of the

longer piece is 2 : 3.

Therefore,

Correct option is d.