Each of the four sides of the 100-story John Hancock Center in Chicago Iiinois is shaped like a trapezoid. The highest of the building is 28 feet less than 7 times the length of the base along Michigan. The length of the roof is 65 feet shorter than the length of the base below it. The area of one particular side is 149,327.5 square feet. How long is the base of that side? How tall is the biulding?

1227 feet

Step-by-step explanation:

Let x is the the length of the base along Michigan

Given:

<=> The highest of the building = 7x -28

<=> The length of the roof = x - 65

<=> *(7x -28 ) = 149327.5

<=> (2x -65) (7x -28) = 298655

<=> - 511x = 296835

<=> x = 165.

So the building's height is: 7(165) -28  = 1227 feet

yes, gavin is right.

step-by-step explanation:

gavin is correct. 

this problem is about converting 9% per year to how many percent per quarter. the rate is still the same. it only differed in the time period. so, through dimensional analysis,

9% per year  × (1 year / 4 quarters) = 2.25% per quarter

if he was asked to convert 9% per year to how many percent per quarter  compounded quarterly, then you will not simply divide by four. this is because compounding is not linear.

hope this , have a good day. c;