Final answer:
The area of the shed, assumed to be square-shaped, is calculated by squaring the length of a side, which is 1.5 meters, resulting in 2.25 square meters. If the shape of the shed is rectangular and not square, you would use the formula for the area of a rectangle, which is length times width. For areas with measurement uncertainties, you calculate the area's uncertainty by the formula for the propagation of uncertainty in multiplication.
Step-by-step explanation:
To calculate the area of the shed, which is assumed to be square-shaped since the lengths given are for a square on the plan, you simply need to use the formula for the area of a square, which is side length squared. As each square on the plan has a length of 1.5 meters, you can calculate the area by squaring this length:
Area = length × width = 1.5 m × 1.5 m = 2.25 sq m. Therefore, the area of the shed is 2.25 square meters.
However, if you are looking for a general approach to calculate the area of a rectangle, the formula is:
Area = length × width
For uncertainty calculation, you would apply the formula for the propagation of uncertainty in multiplication which is:
Uncertainty = √((∂Area/∂length)^2 × (uncertainty in length)^2 + (∂Area/∂width)^2 × (uncertainty in width)^2)
This would give you an estimation of how precise your area measurement is, taking into account the uncertainties in measuring the length and width.