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(x²-8)

meters
Square
x meters
V...
What expression represents the total area of the
shaded figure. Simplify your expression.

User Phonon
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1 Answer

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The shaded figure consists of a square with side length x and four identical quarter circles with radius x/2.

The area of the square is given by (side length)^2, so the area of the square is x^2.

The area of one quarter circle is given by (1/4)π(radius)^2, so the area of all four quarter circles is π(x/2)^2 = (1/4)πx^2.

Therefore, the total area of the shaded figure is the area of the square plus the area of the quarter circles, which is:

x^2 + (1/4)πx^2 = (4/4)x^2 + (1/4)πx^2 = (4+π)/4 x^2

So, the expression that represents the total area of the shaded figure is ((4+π)/4)x^2, where x is measured in meters and the area is measured in square meters.

User Ravi Jiyani
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