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3 years ago

The perimeter of a rectangular field is 364 yards. If the width of the field is 85 yards, what is its length?

Mathematics

1 answer:

Solnce55 [7]3 years ago

4 0

Answer:

$\huge\boxed{97 yards}$

Step-by-step explanation:

Important Information:

Perimeter of rectangle= $Lenght+Length+width+width$

Method:

The first step to work this out is to multiply the width of 85 by 2, this gives you 170.This is because a rectangle has two sets of equal sides. This means that there two widths.

The next step is to subtract 170 from the perimeter of 364, this gives you 194. This is because the formula for the perimeter of a rectangle is $Lenght+Length+width+width$ . This means that in order to isolate the values of the lenght we must subtract the values of the width.

The final step is to divide the value of 194 by 2, this gives you 97. This is because that is the value for 2*the length. That means in order to work out the value of 1 you would need to divide by 2.

Step By Step:

1) Multiply 85 by 2.

$85*2=170$

2) subtract 170 from 364.

$364-170=194$

3) Divide 194 by 2.

$194/2=97$

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