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How would i find the perimeter and area of this

How would i find the perimeter and area of this-example-1

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Answer: P: 6x - 6 + (pi * x/2) A: 3x^2 - 3x - (pi * (x^2)/4)

Explanation:

The missing section is a quarter of a circle. It is the same length at 90 degrees difference following an arc. This radius is X, same as the smaller length of the rectangle. The longer length of the rectangle is 2x-3+x, or 3x-3.

Area: Rectangle area is X * (3x-3) or 3x^2 - 3x. Subtract the missing piece. The full area of the circle would be pi * x^2. Divide by 4 for a quarter circle. So the full area would be 3x^2 - 3x - (pi * (x^2)/4).

Perimeter. x + 2x-3 + 3x-3 + the arc. The arc is a quarter of the circle's circumference. pi * 2x over 4. So total perimeter would be 6x-6 + (pi * 2x/4 or pi * x/2).

Just my best guess tho

User Zaira
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