Question

QUESTION 11 B. The front entrance to a museum is in the shape of a rectangle with a semi-circular arch on the top. If the museum personnel want to string lights around the sides and top of the entrance, how long should the string of lights be? Show all work using the equation editor. Be sure to label your final solution in feet. Use 3.14 for pi. 14 ft 12 ft TTI 쫓Paragraph Arial

Answer 1

Length of the rectangular portion L = 12 ft

Width of the rectangular portion W = 14 ft

Diameter of the semicircular arch D = length of the rectangular portion = 12 ft

Therefore,

Perimeter of the front entrance

= W + $\pi$ D/2 + W

= 14 + 3.14(12 / 2) + 14

= 14 + 18.84 + 14

= 46.84 ft

Thus,

The length of string of lights required = 46.84 ft