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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

The correct answer is: 12x + 36

Total area of four white triangles = Area of outer square – Area of shaded square
= (x + 6)² – x²
= x² + 2 $cross times$ x $cross times$ 6 + 6² – x²
= 12x + 36

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