The correct answer is: [B]: "40 yd² " . _____________________________________________________ First, find the area of the triangle:
The formula of the area of a triangle, "A":
A = (1/2) * b * h ;
in which: " A = area (in units 'squared') ; in our case, " yd² " ;
" b = base length" = 6 yd.
" h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd. ___________________________________________________ → A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ;
= " 24 yd² " . ___________________________________________________ Now, find the area, "A", of the square:
The formula for the area, "A" of a square:
A = s² ;
in which: "A = area (in "units squared") ; in our case, " yd² " ;
"s = side length (since a 'square' has all FOUR (4) equal side lengths);
A = s² = (4 yd)² = 4² * yd² = "16 yd² " _________________________________________________ Now, we add the areas of BOTH the triangle AND the square: _________________________________________________ → " 24 yd² + 16 yd² " ;
to get: " 40 yd² " ; which is: Answer choice: [B]: " 40 yd² " . _________________________________________________
The most logical answer would be something like the number of music lovers in the city or something similar. That is because if there are many people loving music, then there are many stations, which means many concerts.
