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3 problems match “area of rectangle”. Clear

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1. Area of quadrilateral from circle and hyperbola ●●○○○ 20 ptsA convex quadrilateral is drawn in the coordinate plane such that each of its vertices $(x, y)$ satisfies the equations $x^{2}+y^{2}=73$ and $xy=24$. What is the area of this quadrilateral?
2. Length and width of an accent wall ●●○○○ 20 ptsA wall has a length that is 3 ft more than its width. The wall has an area of 130 ft². Find the length and the width of the wall, in feet. Round to three decimal places.
3. Length of a rectangular patio ●●○○○ 20 ptsA rectangular patio has an area of 432 square feet. Its width is $\frac{3}{4}$ of its length. Find the length of the patio in feet.