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The perimeter of a rectangular field is 300 yards. If the width of the field is 57 yards, what is its length?

Respuesta :

[tex]P=2L+2W[/tex]

[tex]300=2L+2 \cdot 57[/tex]

[tex]300=2L+114[/tex]

[tex]2L=300 - 114[/tex]

[tex]2L=186[/tex]

[tex]L=\frac{186}{2} = 93[/tex]

proof:

[tex]300=2\cdot 57+2 \cdot 93[/tex]

[tex]300 = 114 + 186[/tex]

[tex]300 = 300[/tex]

I Hope I helped you!

Step-by-step explanation:

the perimeter of a rectangle : it is the distance when going around the whole rectangle once.

so, it is

2×length + 2×width

300 = 2×length + 2×57 = 2×length + 114

2×length = 300 - 114 = 186

length = 186/2 = 93 yards