Preheat the oven to 350°F and prepare a baking pan.

In a bowl, cream together the softened butter and granulated sugar until light and fluffy.

Add the eggs one at a time, mixing well after each addition.

Combine the lemon zest and juice into the mixture.

In another bowl, mix the flour, baking powder, and salt.

Gradually add the dry ingredients to the wet mixture, alternating with the milk.

Fold in the sliced strawberries.

Pour the batter into the prepared baking pan and smooth the top.

Bake for 30 minutes or until a toothpick inserted comes out clean.

Allow the cake to cool completely.

For the frosting, beat together the softened butter, powdered sugar, lemon juice, and vanilla extract until smooth and creamy.

Spread the frosting over the cooled cake.