Draw a diagram of a right trapezoid . <span>B ---------------- C </span> <span>.| ............ ............ * </span> <span>.| ............ ............ ..... * </span> <span>A --------------- -------------- D </span> <span>Longer diagnal BD = 13cm </span> <span>Longer base AD = 12cm </span> <span>Shorter base BC = 8cm </span> <span>Angle A is 90° , so △BAD is a right triangle . </span> <span>AB^2 + AD^2 = BD^2 </span> <span>AB^2 + 12^2 = 13^2 </span> <span>AB^2 + 144 = 169 </span> <span>AB^2 = 25 </span> <span>AB = 5 </span> <span>So the area of trapezoid ABCD is (12+8)*5/2 = 50 [cm^2] .</span>
We know that a three-pose portrait package has a sitting fee of $35 and <span> a six-pose package has a sitting fee of $60. The total amount they collect is $690.
