In this problem, we'll walk through the steps to find the area of the rectangle bounded...

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In this problem, we'll walk through the steps to find the area of the rectangle bounded by: The line f ( x ) = 3 x+5 The line g (x) parallel to f ( x ) passing through the point (0,4) The line h ( x ) perpendicular to f (x) passing through (21, 0) The line j ( x ) perpendicular to f (x) passing through (0,5) a) Find the equation for the line g (x) g(x) = b) Find the equation for the line h(x) h(x) = c) Find the equation for the line j(x) j(x) = d) Sketch a graph of these functions, and shade the rectangle bounded by the four lines. e) Label the intersection of f (x) and j (x) as point A. Find the coordinates of point A. f) Label the intersection of g (x) and j(x) as point B. Find the coordinates of point B. g) Label the intersection of f (x) and h (x) as point C. Find the coordinates of point C. h) Find the distance from point A to point B Distance = i) Find the distance from point A to point C Distance = j) Find the area of the rectangle bounded by the four lines. Area = In this problem, we'll walk through the steps to find the area of the rectangle bounded by: The line f ( x ) = 3 x+5 The line g (x) parallel to f ( x ) passing through the point (0,4) The line h ( x ) perpendicular to f (x) passing through (21, 0) The line j ( x ) perpendicular to f (x) passing through (0,5) a) Find the equation for the line g (x) g(x) = b) Find the equation for the line h(x) h(x) = c) Find the equation for the line j(x) j(x) = d) Sketch a graph of these functions, and shade the rectangle bounded by the four lines. e) Label the intersection of f (x) and j (x) as point A. Find the coordinates of point A. f) Label the intersection of g (x) and j(x) as point B. Find the coordinates of point B. g) Label the intersection of f (x) and h (x) as point C. Find the coordinates of point C. h) Find the distance from point A to point B Distance = i) Find the distance from point A to point C Distance = j) Find the area of the rectangle bounded by the four lines. Area =

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