Question

The length of the 2 black rods is equal to that of the 3 grey rods. The length of the white rod is equal to the total length of the 2 black and 3 grey rods as shown in the figure.

Therefore the length of the grey rod is ______ the length of the white rod.
Which of these can come in the blank above?
a)/
b) /
c) /
d) /3



Help❤️^^

Answer 1

Length of grey rod is
`(1)/(4)`th of the white rod.

Explanation:

Let the length of each black rod = b units

Length of 2 black rods = 2b

Length of each grey rod will be = g units

Length of 3 grey rods = 3g

Since, length of 2 black rods = length of 3 grey rods

2b = 3g ----- (1)

Length white rod = Length of 2 black rods + Length of 3 grey rods

w = 2b + 3g

From the equation (1),

w = 2b + 2b

= 4b

b =
`(w)/(4)`

Therefore, length of grey rod is
`(1)/(4)`th of the white rod .