Question

this building, in the shape of a parallelogram, is the dockland office building in hamburg, germany. the 7 - story buildings length is 282.15 feet and its height is 84.26 feet. the face is covered in windows. what is the area of the face of the building? round your answer to the nearest hundredth. (two decimal places)

Explanation:

Step1: Recall area formula for parallelogram

The area formula for a parallelogram is $A = base\times height$. Here, the length of the building can be considered as the base $b = 282.15$ feet and the height $h=84.26$ feet.

Step2: Calculate the area

$A=282.15\times84.26$
$A = 282.15\times(84 + 0.26)=282.15\times84+282.15\times0.26$
$282.15\times84=(282 + 0.15)\times84=282\times84+0.15\times84=23688+12.6 = 23700.6$
$282.15\times0.26=(282+0.15)\times0.26=282\times0.26 + 0.15\times0.26=73.32+0.039 = 73.359$
$A=23700.6+73.359 = 23773.959\approx23773.96$ square - feet

Answer:

$23773.96$