Add strawberries to a small food processor and process into a powder. Set aside.
Whisk together, flour, baking powder, salt and strawberry powder until well combined. Set aside.
In the bowl of a stand mixer fitted with a paddle attachment, cream butter and sugar together on medium-high speed until light and fluffy, about 2-3 minutes. Add the lemon zest, egg and vanilla extract and continue to mix until combined, about one minute.
Turn the mixer to low and slowly add the dry ingredients to the wet ingredients until combined. Divide the dough into three equal portions and wrap each in plastic wrap and refrigerate for 2 hours.
Preheat oven to 350 degrees. Line two large baking sheets with parchment. Set aside.
Remove dough from refrigerator and using one portion of dough at a time, turn dough out onto a lightly floured surface. Roll dough out to ¼-inch thickness and cut with cookie cutters.
Transfer to prepared sheet, spaced two inches apart and bake for 10-12 minutes or until lightly browned around the edges. Let cool on sheet until firm then remove to wire rack to cool completely.