Preheat Oven at 350F
Blend ripe strawberries in a blender. Make sure to not over blend.
In a bowl, rub the sugar and lemon zest together. Then add the eggs and vanilla extract. Using a hand held mixer, blend until mixture is pale and doubled in size.
Add the oil and blend. Then add the melted butter and whisk until combined.
Sift in the dry ingredients ( baking powder, baking soda, salt, all purpose flour)
Pour the batter into a lined 9 inch square baking pan. Using a spoon, add some blended strawberry over the batter and using a wooden skewer, blend into the batter evenly.
Using a spoon, add some blended strawberry over the batter. Then, using a wooden skewer, blend strawberry into the batter evenly making swirls.
Top with lemon sugar.
Bake at 350F on the middle rack for about 38 minutes, or until a toothpick inserted comes out clean. You can also gently press the cake, and if it bounces back, it is ready.
Allow to cool completely before cutting into it.
Serve with whipped cream or fresh strawberries.