Question

give possible expression for the length of a square whose area is (9x² + 30x + 25 )square unit​

Answer 1

Answer:

$\huge{\boxed{\rm{\blue{length=(3x+5) units}}}}$

Step-by-step explanation:

Given:-

Area of a square is (9x² + 30x + 25 )square units.

To find:-

Give possible expression for the length of the square.

Solution:-

Let the length of the side be "a" units.

Area of the square =side×side =a² sq.units

According to the problem ,

Area of the given square is 9x²+30x+25 sq.units

=>a²=9x²+30x+25

=>a²=9x²+15x+15x+25

= a²=3x(3x+5)+5(3x+5)

=>a²=(3x+5)(3x+5)

=>a²=(3x+5)²

Therefore, a=3x+5

Side =(3x+5) units

Answer:-

Length of the given square whose area is 9x²+30x+25 sq.units is (3x+5) units.