Question

The length of a rectangular piece of land is 92 yards more than three times its width. The perimeter is 760 yards. find its dimensions.

Answer 1

Answer:  Dimensions are  given as below:

Length = 236 yards

width = 144 yards

Step-by-step explanation:

Let the width be x

then length = 92 more than x = 92+x

formula for perimeter of rectangle  = 2 [ length + width]

     therefore

                  760  =    2 [  92+x + x ]

                 760 = 2 ( 92+2x )

                760 = 184 + 4x

            4x = 760 - 184

           4x = 576

             x= $\frac{576}{4}$ =

             x = 144

So width = 144 yards

Length = 144+92 = 236 yards