A rectangle's length and width is a ratio of 17:2. The area is 136 square yards. What is the length and width.
I have no idea on how to even attempt to work this problem. Please help!
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To solve this problem, we can start by representing the length and width of the rectangle using the ratio given, which is 17:2.
Let's assume that the length of the rectangle is 17x, where x is a variable representing a common multiplier. Similarly, let's assume that the width of the rectangle is 2x.
Given that the area of the rectangle is 136 square yards, we can use the formula for the area of a rectangle: Area = Length × Width.
Substituting the values we assumed, we have:
136 = (17x) × (2x)
Now, we can solve this equation to find the value of x, which will allow us to determine the length and width of the rectangle.
To solve the equation, we can start by simplifying the right side:
136 = 34x^2
Next, divide both sides of the equation by 34:
4 = x^2
Taking the square root of both sides of the equation gives us:
x = 2
Now that we have found the value of x, we can substitute it back into our assumptions to find the length and width of the rectangle.
Length = 17x = 17 × 2 = 34 yards
Width = 2x = 2 × 2 = 4 yards
Therefore, the length of the rectangle is 34 yards, and the width is 4 yards.