Question

Area and perimeter 9= 10=

Answer 1

Answer:

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 = $\sqrt{42.25}$

                           = 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

     = $\frac{1}{2}(b_1+b_2)h$

      Here, $b_1$ and $b_2$ 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 = $\sqrt{PR^2-RT^2}$

      PT = $\sqrt{(18)^2-2^2}$

            = $\sqrt{324-4}$

            = $\sqrt{320}$

            = 17.89 in.

      Area of the trapezoid PQRS = $\frac{1}{2}(PQ+RS)(PT)$

                                                      = $\frac{1}{2}(22+26)(17.89)$

                                                      = 429.36 in²

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

                                                                                   = 12880.8 in²