Fly a Kite

April 15, 2019

Molly has sketched a design for her new kite on a coordinate grid. The sides of her quadrilateral kite design are given by the equations y = (2/3)x + 30, y = (−2/3)x + 50, y = −2x + 30 and y = 2x – 30. How many square units are in the area of Molly’s design?

 

Based on the previous problem, what is the perimeter of Molly’s kite design, in units? Express your answer in simplest radical form.

 

The length of the tail that Molly needs for her kite must be 1.5 times the average length of the kite’s diagonal lengths. Based on the previous problems, how many units long is the tail Molly designs for her new kite? Express your answer as a decimal to the nearest tenth.

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