I'm currently building a house with a attached workshop that is a 2 wide 2 deep design with vaulted ceilings up to 13ft in the front area. I want to use 4ft LED bulbs and the electrical installer for the house is not very familiar with them and doesn't have much advice to give. I did some rough back of the napkin calculations to come up with the current light plan but would love some more knowledgeable input.
Well, your light distribution depends a lot on how powerful each light strip is. I used the 40W, 4200L Lights of America LED shop lights in my workshop, so that's what I'll base my recommendations on.
It looks like you've got four 8' lights in the front car bays, with two of those lights directly above where the cars will park. That won't be very helpful, unless you're doing interior work on convertibles. I think the light quality will be far better if you spread the fixtures out as much as possible. The more fixtures you have, the less significant your shadows will be. Also, position them so that they'll shine on the front, back, & sides of the cars instead of onto the roof.
My shop has 13.5' ceilings, and I found that putting one 4' strip in every 5x5' square of the ceiling produced about 117 ft-cd of light 36" off the ground. A year after install, I still think that's a perfect setup. It's bright enough and uniform enough that the only time I need auxiliary, task-based lighting is when I'm lying underneath a vehicle.
I don't know exactly how high all your ceilings are, or what kind of work you'll be doing in that shop. However, if all your ceilings were 13' high (like mine) and you planned to do woodworking or automechanic work (like I do), then I think you'd be quite happy with something resembling the attached layout of 4', 40W LED fixtures. Alternatively, you could replicate the back layout up front instead of working around parked vehicles. With lower ceilings, you'll want fewer lights.
I used split the lights up on three wall switches in my 30x40' shop. The front half is on one switch, the back half is on another switch, and four lights (one centered in each quadrant of the garage) are on a third switch. That allows me to turn on just a little bit of light for those times when I'm not doing detailed work & don't want the expense of powering all those lights. I put the 4 lights on a lighted switch so it's easy to find in the dark.
I attached a photo of the lighting in my shop.