Preheat oven to 350°F (175°C). Grease and flour an 8x8 inch baking pan.
In a medium bowl, whisk together melted butter and sugar until well combined.
Add cocoa powder and whisk until smooth.
Beat in the eggs one at a time, then stir in the vanilla extract.
In a separate small bowl, whisk together flour, baking powder, and salt.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined. Do not overmix.
In a small saucepan, combine strawberries, sugar, and lemon juice. Cook over medium heat, stirring occasionally, until strawberries break down and the sauce thickens, about 5-7 minutes. Mash strawberries with a fork if needed. Let cool slightly.
Pour about two-thirds of the brownie batter into the prepared pan and spread evenly.
Dollop spoonfuls of the strawberry sauce over the brownie batter. Swirl the sauce into the batter using a knife or skewer.
Pour the remaining brownie batter over the strawberry swirl and spread to cover. You can swirl a little more if desired.
Bake for 25-30 minutes, or until a toothpick inserted into the center comes out with moist crumbs attached.
Let cool completely in the pan before cutting into squares.
Notes
Store in an airtight container at room temperature for up to 3 days.