the surface Integra,∬SxdS,′S is the triangular region with vertices (1,0,0),(0,−2,0), and (0,0,18). Get tutor helpAn architect is designing a rectangular-shaped skyscraper. The base of the building is a rectangle, with corners at (1,3), (35,3), (35,53), and (1,53) on the coordinate plane. What is the area of the rectangle on the graph? (1 point) Item 1Item 2Item 31.700 units Get tutor help∮xydx+x2dy,C is counterclockwise around the rectangle with vertices (0,0),(2,0),(2,5),(0,5)(a) Evaluate the given line integral directly. Get tutor helpPerimeter, Ares, and VolumeIdentilying side lengths that give right trianglesDetermine whether a triangle with the given side lengths is a right triangle.\begin{tabular}{|l|c|c|c|}\hline \multicolumn{1}{|c|}{ Side lengths } & Right triangle & \begin{tabular}{c} Not a right \\triangle\end{tabular} & \begin{tabular}{c} Not enough \\information\end{tabular} \\\hline (a) 7,24,25 & 0 & 0 & 0 \\\hline (b) 4,7,8 & 0 & 0 & 0 \\\hline (c) 10,24,26 & 0 & 0 & 0 \\\hline (d) 22,29,36 & 0 & 0 & 0 \\\hline\end{tabular} Get tutor helpFind a vector that is perpendicular to the plane passing through the three given points.P(0,1,0),Q(1,2,−1),R(−3,1,0) Get tutor help