Find the area of the figure. Round your answer to the nearest hundredth if required. 4in 5in 4in 2in

1 answer

To find the area of a figure described with the dimensions given (4 in, 5 in, 4 in, 2 in), we need to first identify the shape of the figure. However, without a specific description of the arrangement of these sides, I will consider two common interpretations:

  1. Rectangular Shape: If the dimensions represent the lengths of a rectangle, we can assume that the rectangle has a length of 5 inches and a width of 4 inches. \[ \text{Area} = \text{length} \times \text{width} = 5 , \text{in} \times 4 , \text{in} = 20 , \text{in}^2 \]

  2. Complex Shape: If these are the sides of a complex figure (like a trapezoid or another polygon), we need more information about how these sides are arranged to calculate the area accurately.

For instance, if we assume the sides are arranged to form a trapezoid with bases 4 in and 5 in, and a height of 2 in, the area would be calculated as: \[ \text{Area} = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height} = \frac{1}{2} \times (4 + 5) \times 2 = \frac{1}{2} \times 9 \times 2 = 9 , \text{in}^2 \]

Please provide additional details about the shape formed by these dimensions, and I can give a more accurate calculation of the area.