Preheat the oven to 350 degrees F and line a 9x9-inch baking pan with parchment paper and set aside.

In a small bowl, stir together the chopped strawberries, lemon juice, and lemon zest and let sit for 10 minutes, then drain any excess juice.

Meanwhile, in a medium bowl, whisk together the flour, baking powder, and salt.

In a large mixing bowl, cream together the butter and sugars until light and fluffy. Add the egg and vanilla extract.

Beat until fully incorporated.

Add in the flour mixture.

Beat until just combined, the dough will be crumbly looking.

Add the strawberries to the dough mixture.

Use your hands to gently fold in the strawberries to prevent crushing the strawberries and to distribute them throughout the dough, moistening it enough that it sticks together when pressed..

Gently press the dough into the prepared pan and bake for 25 to 27 minutes.

Remove from the oven and let cool for 1 hour before icing.

In a small mixing bowl, combine cream cheese, powdered sugar, and lemon juice until smooth. Place in a piping bag and drizzle across the top of the strawberry bars.