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The stained glass window below is a replacement for one that was broken in the Notre Dame cathedral. The glass

The stained glass window below is a replacement for one that was broken in the Notre Dame cathedral. The glass to replace it is quite expensive - $100 per square inch, except the purple glass, which is $125 per square inch.The window has the following dimensions:The sides of the pentagon are 10 inches each (w). The height of each triangle shape is 5.2 inches (z).Each of the kite-shaped pieces are 4 inches at their widest point (x). From the center of the pentagon to a vertex is exactly 12 inches (y). Use the information above to answer the following questions. Be sure to label each answer to include proper units. a. What is the area of one of the triangles? b. What is the area of one of the kites?

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1. A(triangle) = 1/2 * h * b

   = 1/2 * 10 * 5.2

   = 26in^2

   A(kite) = 1/2 * x * y

   = 1/2 * 4 * 12

   = 24in^2

   Purple = 2 triangles + 1 kite

   = 2 * 26 + 24

   = 76in^2

   cost = 76 * 125 = $9500

   The remainder = 3 triangles + 4 kites

   = 3 * 26 + 4 * 24

   = 174cm^2

   cost = 100 * 174 = $17400

   total cost = 9500 + 17400

   = $26900