Question

Find the area of the following ​

Answer 1

Answer:

24000 ft²

Step-by-step explanation:

Triangle PRS:

          b = base = PR = 240 ft

      2AS = 240 ft

       $\sf AS = \dfrac{240}{2}\\\\ AS = 120 \ ft$

         h  = height = AS  = 120 ft

      $\sf \boxed{\bf \ Area \ of \ triangle = \dfrac{1}{2}b*h}$

                                       $\sf =\dfrac{1}{2}*240*120\\\\ = 120 * 120\\\\ = 14400 \ ft^2$

Triangle PRQ:

          b = PR = 240 ft

     3BQ = 240 ft

        $\sf BQ = \dfrac{240}{3}\\\\ BQ = 80 \ ft$

$\sf Area \ of \ triangle \ PRQ = \dfrac{1}{2}*240*80$

                                 = 120 * 80

                                 = 9600 ft²

Area of the quadrilateral PQRS = area of ΔPRS + area of ΔPRQ

                                                    =  14400 + 9600

                                                    = 24000 ft²