The figure pqrstu represents the shape of the parking lot at a shopping mall. what is the area of the parking lot?
a.) 834 square feet
b.) 918 square feet
c.) 984 square feet
d.) 1,068 square feet

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3