The area of a rectangle is 46 square inches. If the length is 4 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.
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Let's assume the width of the rectangle is x.
Since the length is 4 times the width, the length would be 4x.
According to the formula for the area of a rectangle, area = length * width, we can write the equation as:
46 = (4x) * x
Simplifying further:
46 = 4x^2
Dividing both sides by 4:
11.5 = x^2
Taking the square root of both sides:
x ≈ 3.39 (rounded to the nearest hundredth)
So, the width of the rectangle is approximately 3.39 inches.
The length of the rectangle would be 4 times the width, which is approximately 3.39 * 4 = 13.56 inches.
Thus, the dimensions of the rectangle are approximately 3.39 inches (width) and 13.56 inches (length).
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