Question

Find the area of the composite figure.
with lengths of 9 10
composite figure with sides: 3, 4, 9, 10 3 4


57.5 square units


67 square units


218 square units


102.5 square units

Answer 1

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:
1. **Rectangle 1**: Length = 9, Width = 4
2. **Rectangle 2**: Length = 10, Width = 3

Calculating their areas:

1. Area of Rectangle 1:
\[
A_1 = \text{Length} \times \text{Width} = 9 \times 4 = 36 \text{ square units}
\]

2. 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:
\[
\text{67 square units}
\]