To find the area of the figure based on the dimensions provided, we need a clearer understanding of the shape that we are working with. However, since we only have dimensions (5 m, 13 m, 3 m, 13 m) without a visual representation, I will assume that this is a trapezoidal or rectangular-like shape based on common scenarios.
Assumption 1: Rectangle
If the figure is rectangular, using the dimensions:
- Length = 13 m (assuming the longer side)
- Width = 5 m (assuming a shorter side)
The area \(A\) of a rectangle is calculated as: \[ A = \text{Length} \times \text{Width} \] \[ A = 13 , \text{m} \times 5 , \text{m} = 65 , \text{m}^2 \]
Assumption 2: Trapezoid
If the shape is a trapezoid and these dimensions represent legs of the trapezoid:
- Base1 (one of the parallel sides) = 13 m
- Base2 (the other parallel side) = 5 m
- Height (the distance between the bases) = 3 m
The area \(A\) of a trapezoid is calculated using the formula: \[ A = \frac{1}{2} \times (b_1 + b_2) \times h \] Where \(b_1\) and \(b_2\) are the lengths of the bases, and \(h\) is the height. \[ A = \frac{1}{2} \times (13 , \text{m} + 5 , \text{m}) \times 3 , \text{m} = \frac{1}{2} \times 18 , \text{m} \times 3 , \text{m} = 27 , \text{m}^2 \]
Please confirm the shape or provide additional details for an accurate calculation. If we assume this to be a rectangle, the area would be 65 m². If it is a trapezoid, the area would be 27 m². Let me know if you need further assistance!