Answer:
It is clear that the multiplication of two values in Eq A is done to get the LCM while same method is not applied for eq B .
Step-by-step explanation:
Given as :
The two statement are
A) The LCM of 5 , 13 = 65
Here The multiple of 5 = 1 × 5
And The multiple of 13 = 1 × 13
So, Applying prime factor method,
least common multiple = product of height power of all factors that occur in resolution
So, LCM = 1 × 5 × 1 × 13
i.e LCM = 65
<u>Again</u>
B) The LCM of 6 , 8 = 24
Here The multiple of 6 = 1 × 2 × 3
And The multiple of 8 = 1 × 2 × 2 × 2
i.e The multiple of 8 = 1 × 2³
So, Applying prime factor method,
least common multiple = product of height power of all factors that occur in resolution
So, LCM = 2³ × 3
i.e LCM = 24
Hence, It is clear that the multiplication of two values in Eq A is done to get the LCM while same method is not applied for eq B . Answer
The answer is 27. Volume of the cube
Given:
The area of a rectangle is 99 square yd.
Length of the rectangle = 7 yd more than twice the width.
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then, length of the rectangle is:
Area of a rectangle is:
The area of a rectangle is 99 square yd.
Splitting the middle term, we get
Using zero product property, we get
and 
and 
and 
Width of the rectangle cannot be negative. So, yd.
Now, the length of the rectangle is:
Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.
