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Mathematics

Grade10

Easy

Question

Consider the figure shown below. What expression represents the total area of the four white triangles?

12x + 36
6x + 12
6x – 12
12x – 36

hint Hint:

Area of Square = side*side

The correct answer is: 12x + 36

Side of outer square = x+6 . Area of outer square (x+6)(x+6)
Side of shaded square = xx
Total area of four white triangles = Area of outer square – Area of shaded square
$equals left parenthesis x plus 6 right parenthesis squared – x squared$
$equals x squared plus 2 asterisk times x asterisk times 6 plus 6 squared – x squared$
$equals space 12 x space plus space 36 space space$

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