Question

Aaron has a yard in the shape of a square, it is 125 ft x 225 ft. Jake has a yard in the shape of a right triangle with a height of 221 feet and a base of 245 feet. Who has a bigger yard

Answer 1

Aaron has a bigger yard. Area of aaron yard is 28125 square feet and the area of jake yard is 27,072.5 square feet. Area of aaron yard is greater than the jake yard.

Step-by-step explanation:

The given is,

                    Aaron has a yard in the shape of square it is 125 ft × 225 ft

                   Jake has a yard with right triangle with a height of 221 ft and a base of 245 ft

Step:1

             Formula for area,

                                        $A_{Aaron} =lb$.....................................,....(1)

             From given,

                                  l = 125 ft

                                 b = 225 ft

            Equation (1) becomes,

                                                   $= (125)(225)$

                                                   = 28125

                                      $A_{Aaron}$ = 28125 Square feet...........(2)

Step:2

           Formula for area,

                                $A_{Joke} = \frac{bh}{2}$.................................................(3)

           From given,

                                     b - 245 ft

                                     h - 221 ft

           Equation (2),

                                                =  $\frac{(221)(245)}{2}$

                                                =  $\frac{54145}{2}$

                                                = 27025.5

                                      $A_{Joke}$ = 27025.5...........................(4)

         From equation (1) and (2),

                                   $A_{Aaron}>A_{Joke}$

                                     $28125 >27072.5$

Result:

           Aaron has a bigger yard. Area of aaron yard is 28125 square feet and the area of jake yard is 27,072.5 square feet. Area of aaron yard is greater than the jake yard.