The length of a rectangle is six feet greater than the width. the perimeter is 168 feet. What are the dimensions of the rectangle?

45 feet by 39 feet

Step-by-step explanation:

l = length

w = width

Perimeter, p of a rectangle = 2( l + w)

and p = 168 feet

but l = 6 + w

substitute the value of l

168 = 2(( 6 + w) + w)

168 = 2( 6 + w +w)

168 = 2(6 + 2w)

expand

168 = 12 + 4w

subtract 12 from both sides

168 - 12 = 4w

156 = 4w

divide both sides by 4

39 = w

substitute the value of w in  l = 6 + w

l = 6 + 39

l = 45

Hence, the dimensions are 45 feet by 39 feet

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.