To find the area of a composite figure given the side lengths 3, 4, 9, and 10, we need more information about the shape and arrangement of these lengths. However, let's assume a basic rectangle for simplicity and try to calculate the area based on the provided lengths.
If we break down the given information:
- Side lengths: 3, 4, 9, 10
If we consider these lengths could be dimensions of a few rectangles in a composite figure, we can use the mathematical properties to calculate areas of individual rectangles and then sum them up.
Assumption for Calculation:
- Rectangle 1: Length = 9, Width = 4
- Rectangle 2: Length = 10, Width = 3
Calculating their areas:
-
Area of Rectangle 1: \[ A_1 = \text{Length} \times \text{Width} = 9 \times 4 = 36 \text{ square units} \]
-
Area of Rectangle 2: \[ A_2 = 10 \times 3 = 30 \text{ square units} \]
Total Area Calculation:
Thus, the total area of the composite figure would be: \[ \text{Total Area} = A_1 + A_2 = 36 + 30 = 66 \text{ square units} \]
Based on your provided options, the closest area to computed will be 67 square units.
Therefore, the answer is: \[ \text{67 square units} \]