Area and perimeter

9=

10=

9). 15 miles

10). 12880.8 in²

Step-by-step explanation:

9). Total distance to be covered by Kelly = Perimeter of the given triangle

                                                                    = Sum of three sides of the triangle

    To know the length of Laurel drive (Hypotenuse of the triangle), we will apply Pythagoras theorem in the given triangle,

    (Hypotenuse)² = (Leg 1)² + (Leg 2)²

                             = (2.5)²+ 6²

                             = 6.25 + 36

     Hypotenuse =

                           = 6.5 mi.

     Therefore, total distance covered by Kelly = 6.5 + 2.5 + 6

                                                                             = 15 mi.

10). Amount of paper required to cover one desk of the class

     = Area of the trapezoid shown in the figure

     =

      Here, and are the parallel sides of the trapezoid

      And 'h' is the distance between the parallel sides.

      By applying Pythagoras theorem in ΔPRT,

      PR² = RT² + PT²

      PT =

      PT =

            =

            =

            = 17.89 in.

      Area of the trapezoid PQRS =

                                                      =

                                                      = 429.36 in²

      Therefore, paper required to cover 30 desks = 30 × 429.36

                                                                                   = 12880.8 in²

answer: 40.95

step-by-step explanation: