Answer:
The area of the rectangular playroom is 260 feet² .
Step-by-step explanation:
Given:
The perimeter of the rectangular playroom is 72 feet and it's width is 10 feet.
Now, to find its area we need the length .
So, putting the formula of perimeter we get it's length:
Let the length be l .
Perimeter = 2( length + width)


subtracting both sides from 20:


Dividing both sides by 2:


Length is 26 feet.
And, to get the area we put the formula of finding the area:



Therefore, the area of the rectangular playroom is 260 feet² .
Answer:
As the number is a prime number. Therefore, option 'c' is true.
Step-by-step explanation:
Let us take the number 7 and divide it by 4

We know that
as

so the remainder is 3. ∵ 
As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.
Thus, the number is a prime number. Therefore, option 'c' is true.
Answer:

Step-by-step explanation:
How to factor expressions?
Find the G.C.F. and divide it into the terms of the expression you need to factor, like this:
. So I took the 12 and pulled it out of both terms, obtaining
.
Answer:
2a^2 - a - 2
Step-by-step explanation: