Suppose that the area of a square lawn is 4x^2 + 16x + 16. What is the length of one side of the lawn?

2x+4

Step-by-step explanation:

remember the formula (a+b)^2=a^2+b^2+2ab

in this case, 4x^2 would be a^2, 16 would be b^2, and 16x would be 2ab

so, the variable a would be 2x and the variable b would be 4

so, you can turn 4x^2+16x+16 into (2x+4)^2

and since the area of a square is (one of its sides)^2, or in this case (2x+4)^2, the length of one side of the lawn will be 2x+4

problems where you have to use the (a+b)^2=a^2+b^2+2ab formula to turn trinomials into binomials squared are very common, so make sure to look out for questions like these and be ready to use this formula

i would say the third one.

step-by-step explanation: liner would mean in a line and the only one that doesn't look like it's even thinking about forming a line would be the third one