Length - 7/8 miles
Area - 8/20 miles
We know from the equation that Area = Length x Width.
We need to rearrange so that Width = Area ÷ Length
Width = 8/20 ÷ 7/8
= 8/20 x 8/7
= 16/35
Therefore, the width will be 16/35 miles.
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Answer:
Simplifying
8x + 17 = 137
Reorder the terms:
17 + 8x = 137
Solving
17 + 8x = 137
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-17' to each side of the equation.
17 + -17 + 8x = 137 + -17
Combine like terms: 17 + -17 = 0
0 + 8x = 137 + -17
8x = 137 + -17
Combine like terms: 137 + -17 = 120
8x = 120
Divide each side by '8'.
x = 15
Simplifying
x = 15
The equation that used to determine the dimension is 2(2x+10) = 300 and the dimensions of the rectangular yard is 80 foot and 70 foot
Total length of the fence = 300 foot
Consider the width of the rectangular yard = x
The length of the rectangular yard = x + 10
The perimeter of the rectangle = 2(l + w)
Where l is the length and w is the width
Substitute the values in the equation
300 = 2(x+10 + x)
300 = 2(2x + 10)
4x + 20 = 300
4x = 300 - 20
4x = 280
x = 280/4
x = 70 foot
The length = x + 10
= 70 + 10
= 80 foot
Therefore, the equation is 2(2x+10) = 300 and dimensions are 80 foot and 70 foot
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