The perimeters of the square and the rectangle
below are the same. Write
and solve an equation to find
the value of x.

Step-by-step explanation:

Find the side length of the square. The formula is for area is

So take the square root to find the side length.

Now find the perimeter of the square.

setup the equation to solve for x. The left side is the perimeter of the rectangle and the right is the perimeter of the square.

Collect like terms

subtract 4 from both side

divide both side by 8

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.