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All chalk line is place around the perimeter of the football field. What is the length of this line in feet? The field is 531/3yd length and 120yd width

Sagot :


346 2/3 feet is the length of the line around the perimeter of the field
JeanaShupp

Answer: 1040 feet.

Step-by-step explanation:

We know that , Perimeter of a rectangle = 2 (length +width)

As per given , we have

Length of football ground = [tex]53\dfrac{1}{3}\text{yards}=\dfrac{53\times3+1}{3}\text{yards}=\dfrac{160}{3}\text{ yards}[/tex]

Width = 120 yards

Since, the football ground is rectangle in shape.

Then , Perimeter of the ground = [tex]2(\dfrac{160}{3}+120)[/tex] yards

[tex]=2(\dfrac{160+3(120)}{3})[/tex] yards

=[tex]2(\dfrac{160+360}{3})[/tex]yards

[tex]=2(\dfrac{520}{3})[/tex] yards

[tex]=\dfrac{1040}{3}[/tex] yards

Also, 1 yard =3 feet

i.e. Perimeter = [tex]\dfrac{1040}{3}\times3=1040[/tex]  feet

Hence, the required perimeter is

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