Question

Which of the following will be the largest scale (in metres) that will measure a quadilateral whose sides are
1242 m, 1089 m, 2430 m and 2016 m?
Select one:
O a. 12
O b. 11
O c.7
O d. 9​

Answer 1

Answer:

Which of the following will be the largest scale (in metres) that will measure a quadilateral whose sides are

1242 m, 1089 m, 2430 m and 2016 m?

Step-by-step explanation:

answer is

d. 9

Answer 2

The correct answer is option (d) 9

Given:

Measurements of Quadrilateral sides are 1242 m, 1089 m, 2430 m and 2016 m

To find:

The largest scale (in metres) that will measure a quadrilateral sides

Solution:

To find the largest scale that will measure the sides of Quadrilateral

We need to find the HCF of 1242 m, 1089 m, 2430 m and 2016 m

To find HCF (1242, 1089 , 2430, 2016) write the given numbers as product of prime numbers

1242 = 2 x 3 x 3 x 3 x 23 = 2¹ x 3² x 23

1089 = 3 x 3 x 11 x 11 = 3² x 11²  

2430 = 2 x 3 x 3 x 3 x 3 x 3 x 5 = 2¹ x 3⁵ x 5

2016 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 = 2⁵ x 3² x 7    

Here, the highest common factor = 3 × 3 = 9

The largest scale (in metres) that will measure a Quadrilateral sides are 1242 m, 1089 m, 2430 m and 2016 m is 9 meter scale.

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