Answer:
The area of a vegetable garden is 62.5 feet² .
Step-by-step explanation:
Formula
Area of a rectangle = Length × Breadth
As given
\(Roberto\ measured\ his\ garden\ to\ be\ 10 feet\ by\ 12 \frac{1}{2}\ feet.\)
I.e
\(Roberto\ measured\ his\ garden\ to\ be\ 10 feet\ by\ \frac{25}{2}\ feet.\)
\(Roberto\ measured\ his\ garden\ to\ be\ 10 feet\ by\ 12.5\ feet.\)
As He plants vegetables in one-half of the garden.
Than
\(Area\ of\ vegetable\ garden = \frac{1}{2}\times Length\times Breadth\)
Put the value in the above
\(Area\ of\ vegetable\ garden = \frac{1}{2}\times 10\times 12.5\)
\(Area\ of\ vegetable\ garden = \frac{1\times 125}{2}\)
Area of vegetable garden = 62.5 feet²
Therefore the area of a vegetable garden is 62.5 feet² .
