Question

12. If you have two straight sticks of length
7-5 feet and 3-25 feet, what is the
minimum length can you measure?
(a) 0.05 foot
(b) 0.25 foot
(c) 1 foot
(d) 32.5 feet​

Answer 1

Answer:

B) 0.25 foot

Step-by-step explanation:

H.C.F of the two numbers would be the answer,

So H.C.F of 7.5 and 3.25 is 0.25 foot.

Answer 2

The  minimum length that can be measured is 0.25foot.

Given:

Two straight sticks of length 7.5 feet and 3.25feet.

To Find:

What is the minimum length that can be measured using these sticks?

Solution:

To find the minimum length that can be measured using these sticks, we need to find H.C.F of the terms 7.5 feet and 3.25 feet.

7.5 can be written as 75/10= 15/2

3.25 can be written as 325/100= 13/4

Let a/b= 75/10 feet and c/d= 325/100

Using the formula

HCF of (a/b)and (c/d)= (HCF of  and c)/LCM of (b and d)   _(1)

HCF of (a=15) and (c=13)

15= 3×5×1

13=1×13

Common factor between 15 and 13 is 1. So, HCF of 15 and 13 is 1

LCM of (b=2) and (d=4) is 4

2=2×1

4=2×2×1

Putting values of  HC F of (a=15) and (c=13) and LCM of (b=2) and (d=4) in equation 1

HCF of (a/b)and (c/d)= 1/4

HCF of (a/b)and (c/d)= 0.25 foot

Hence, the  minimum length that can be measured is 0.25 foot.

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