The perimeter of a rectangular field is 260 feet. The length of the field is 10 feet more than twice the width of the field. What is the length of the field?
The expression for the width of the field is
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The expression for the length of the field is
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.
The equation that will help you find the length is
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The actual length of the field is
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.
Let's assume the width of the field is x.
The expression for the width of the field is x.
The length of the field is 10 feet more than twice the width of the field, so it can be represented as 2x + 10.
The perimeter of a rectangle is the sum of all its sides, so we can set up the equation 2x + 2(2x + 10) = 260.
Simplifying this equation, we get 2x + 4x + 20 = 260.
Combining like terms, we get 6x + 20 = 260.
Subtracting 20 from both sides, we get 6x = 240.
Dividing both sides by 6, we get x = 40.
Therefore, the width of the field is 40 feet.
Now we can find the length of the field by substituting the value of x into the expression 2x + 10.
Length = 2(40) + 10 = 80 + 10 = 90.
Therefore, the actual length of the field is 90 feet.
The expression for the width of the field is x.
The expression for the length of the field is 2x + 10. (Length is 10 feet more than twice the width)
The equation that will help you find the length is 2(x) + 2(2x + 10) = 260. (Perimeter of a rectangle is equal to 2 times the length plus 2 times the width)
To find the length, we need to solve the equation.
2x + 4x + 20 = 260
6x + 20 = 260
6x = 240
x = 40
The actual length of the field is 2(40) + 10 = 90 feet.
The expression for the width of the field is w.
The expression for the length of the field is 2w + 10.
The equation that will help you find the length is 2w + 10 + 2w + 10 + w + w = 260.
Simplifying the equation, we get 6w + 20 = 260.
Subtracting 20 from both sides, we have 6w = 240.
Dividing both sides by 6, we get w = 40.
So, the width of the field is 40 feet.
Substituting the value of w back into the expression for the length, we have 2(40) + 10 = 90.
Therefore, the actual length of the field is 90 feet.