Question

two buildings are constructed with a uniform width pathway around and in between the buildings as shown in the figure find the width of the pathway also find the area of the pathway

Answer 1

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Answer 2

Let Width of pathway be 'x'
x + x + x +25 +25 = 65
3x +50                  = 65
3x                         = 65 - 50
x                           = 15
x                           = 15/3
x                           = 5 Ft.

Width of Pathway = 5 Ft.

Area of 2 buildings and with pathway = L*B
                                                            = 65*35
                                                            = 2275 Ft sq

Area of 1 building   = Side*Side
                               = 25 * 25
                               = 625 Ft sq

Area of 2 buildings  = 625*2
                                = 1250 Ft sq

Area of Pathway   = Area of 2 Buildings with Pathway - Area of 2 buildings
                              = 2275 - 1250
                              = 1025 Ft sq


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