Question

Give possible expression for the length of a square whose area is (9x+30x+25) square units. (x>0)​

Answer 1

Possible length is (3x + 5) units

Step-by-step explanation :

Given that, the expression for the area of the square is (9x² + 30x + 25)

Now 9x² + 30x + 25

= (3x)² + (2 * 3x * 5) + (5)²

= (3x + 5)²

As we know that, if a be the length of a square, then its area be a² unit²

∴ we can conclude from the above expression that the possible expression for its length be (3x + 5) units

Another question here :

A circular grassy plot of land 21 m in radius, has a path 2.1 m wide running round it on the outside. Find the cost of gravelling the path at Rs. 150 per m². - https://brainly.in/question/14987078

Answer 2

Step-by-step explanation:

Given Give possible expression for the length of a square whose area is (9x^2+30x+25) square units

• Now this is a perfect trinomial.
• We know that (a + b)^2 is equal to a^2 + 2ab + b^2
• Now 9x^2 and 25 are perfect squares. Now we need to find whether the given equation can be written in the form of (a + b)^2
• So we can write this as (3x + 5)^2. This can be written as (3x)^2 + 2(3x)(5) + 5^2
• So the expression will be 9x^2 + 30x + 25 .
• So the expression will be (3x + 5)^2

Reference link will be

https://brainly.in/question/13630966