Question

The given expression represents the area. Find the side length of the square.

25r^2 + 30r + 9

Answer 1

@ganeshie8 help??

Answer 2

@acxbox22 help??(:

Answer 3

\(\large A = s^2 \)

Answer 4

take `square root` to get the side

Answer 5

\(\large \sqrt{A} = s \)

Answer 6

\(\large \sqrt{25r^2+30r+9} = s \)

Answer 7

Notice that the inside stuff is a perfect square trinomial

Answer 8

knw how to express it as square of something ?

Answer 9

@ganeshie8 no that's what's confusing me:(

Answer 10

its bit easy actually :

\(\large \sqrt{25r^2+30r+9} = s\)

\(\large \sqrt{(5r)^2+2(3)5r+3^2} = s\)

Answer 11

use the identity : \(a^2 + 2ab+b^2 = (a+b^2)\)

Answer 12

\(\large \sqrt{(5r)^2+2(3)5r+3^2} = s\)

becomes :

\(\large \sqrt{(5r+3)^2} = s\)

Answer 13

@ganeshie8 okay i get it.. so you just simplify ?

Answer 14

yep, square and radical eat each other out leaving u the finak simplified expression for side

Answer 15

\(\large 5r+3 = s\)

Answer 16

is same as :

\(\large s = 5r+3\)

Answer 17

@ganeshie8 okay so the length of the side would be 5r+3?

Answer 18

yes !

Answer 19

@ganeshie8 YAY thank u so much <3

Answer 20

to check if its correct or not, u may square it and see if u get back ur Area..

Answer 21

np :)