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Mathematics

Grade10

Easy

Question

What is the area of the shaded region?

$x^{2} - 16$
$x^{2} + 16$
4x + 24
8x + 16

The correct answer is: 8x + 16

Area of shaded region = Area of bigger square – Area of smaller square
$equals left parenthesis x plus 4 right parenthesis squared – x squared$
$equals x squared plus 8 x plus 16 – x squared$
$space space equals space 8 x space plus space 16 space$

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