Three congruent kites are placed together edge-to-edge as shown. the bottom edge is 4x and the top edge is x. how much bigger than the perimeter of a one kite is the perimeter of the entire figure?

Perimeter of entire figure is 4x bigger than the perimeter of one kite

Step-by-step explanation:

Given:  Three congruent kites are placed together edge-to-edge.

The bottom edge is 4x and the top edge is x.

∴Perimeter of one kite =x+x+4x+4x=10x

Perimeter of entire figure=4x+x+x+x+x+x+x+4x=14x

Clearly 14x>10x

i.e.Perimeter of entire figure>Perimeter of one kite

Difference between the perimeter is =Perimeter of entire figure-Perimeter of one kite=14x-10x=4x

∴ Perimeter of entire figure is 4x bigger than the perimeter of one kite

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.