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-BARSIC- [3]
2 years ago
14

Builders are covering a wall that is 4 meters tall and 7 meters wide with bricks. They will cover the entire wall except for a s

quare window that measures 2 meters on all sides. How many square meters of the wall will be covered in bricks
Mathematics
1 answer:
marin [14]2 years ago
3 0

Answer:

24 m^2

Step-by-step explanation:

There are two areas to consider here:  first, the area of the wall, and second, the area of the window.  We answer this question by finding these two areas and subtracting the area of the window from the area of the wall.

Wall area:  (4 m)(7 m) = 28 m^2

Window area:  (2 m)(2 m) = 4 m^2

Net area of wall, to be covered in brick:

28 m^2 - 4 m^2 = 24 m^2

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Mademuasel [1]
The correct answer is:  [B]:  "40 yd² " .
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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.  

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→  A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ; 
                                                                 
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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 "
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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 " .
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