SOLUTION: An arrow-shaped window is topped with a triangular sheet of yellow glass. The triangle is 4 feet 2 inches on the top sides with a height of 3 feet 4 inches. The base of the arrowhe

Algebra ->  Formulas -> SOLUTION: An arrow-shaped window is topped with a triangular sheet of yellow glass. The triangle is 4 feet 2 inches on the top sides with a height of 3 feet 4 inches. The base of the arrowhe      Log On


   

Question 1117039: An arrow-shaped window is topped with a triangular sheet of yellow glass. The triangle is 4 feet 2 inches on the top sides with a height of 3 feet 4 inches. The base of the arrowhead is a rectangular sheet of thick opaque glass that is 3 feet 9 inches where it joins with the arrowhead and 5 feet 3 inches tall.
Calculate the area and perimeter of the window.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The rectangular base of the window is a rectangle 45x63 inches, with an area of 2835 square inches.

The triangular arrowhead can be viewed as two right triangles, each with hypotenuse 50 inches and one leg 40 inches -- making the other leg 30 inches. So the base of the triangular arrowhead is 30+30=60 inches; the area is one-half base times height, or 30*40 = 1200 square inches.

So the total area of the window is 2835+1200 = 4035 square inches.

The part of the perimeter of the window that is on the rectangular part of the window is (63+63+45) = 171 inches. The part of the perimeter that is on the triangular part is (50+50+(60-45)) = 115 inches.

So the perimeter of the window is 171+115 = 286 inches.