%) 1.3.27

Mathematics

1 answer:

jeka942 years ago

5 0

Answer:

Width of field = 50 yards

Length of Yards = 106 yards

Step-by-step explanation:

Let the width of field be x yards

given that "The length of a new rectangular playing field is 6 yards longer than double the width"

Length of Yards= 2*width of field + 6 = 2x+6 yards

perimeter of the rectangular playing field = 312 yards

We know that perimeter of rectangle is given by 2(length + width ).

Since field is rectangular then

2(length + width ) = 312

2(x+2x+6) = 312

=> 3x+6 = 312/2 = 156

=> 3x = 156 - 6 = 150

=> x = 150/3 = 50

Thus,

Width of field is x = 50 yards

Length of Yards= 2x+6 yards = 2*50+6 yards = 106 yards

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