Ashleygriffith305
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PLZ PLZ HELP ITS URGENT!!!! 
Katie is making covers for metal nameplates. She needs to know how much plastic, at minimum, she’ll need to fully cover   30 nameplates. Each nameplate has an equilateral triangle on either end with a height of 2.6 inches and base of 3 inches. The length of each nameplate is 6 inches. What is the surface area of 30 nameplates?
A. 1854 in2 B. 1700 in2 C. 61.8 in2 D. 1236 in2

Respuesta :

meerkat18
Given:
Equilateral triangle: height = 2.6 inches ; base or side length = 3 inches
Rectangle: length = 6 inches ; width = 3 inches

1 name plate has 2 equilateral triangle and 3 rectangles.
Surface area of an equilateral triangle = √3/4 * a² = √3/4 * 3² = 3.9 in²

3.9 in² x 2 = 7.8 in²

Surface area of a rectangle = 6 in * 3 in = 18 in²

18 in² x 3 = 54 in²

7.8 in² + 54 in² = 61.8 in²

61.8 in² x 30 nameplates = 1,854 in²  Choice A.

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