In a office building, 58 offices are currently being rented. This represents 40% of the total units. How many offices are there in a building?

145

Step-by-step explanation:

Given:

58 = 40%(x)

Step 1: Turn 40% into a decimal and divide it to the other side

When turning a percentage into a decimal, the decimal point has to be moved two places to the left.  This means that 40% will be turned into 0.4.

58 = 0.4(x)

Divide 0.4 over to the other side.

58/0.4 = 0.4/0.4(x)

0.4 is the same as 4/10.  This means that 58/1 is divided by 4/10.  When dividing a number by a fraction, you invert the fraction and multiply it by the number.

58/1 * 10/4 = 580/4 = 145

145 = x

This is your answer

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet