January 13th, 2009

flock

Area

This post asks the area of the condo shown in the diagram. As I am unable to post a reply there, here's what I figured:

There's an 12 * 11.5 = 138 square foot piece that includes most of the living room, and then there's the 8 * 13 = 104 square foot part that includes the bath and a respectable chunk of the kitchen. If that triangular hunk weren't chopped out, what's left would be an 18.5 * (33 + 13 - 11.5) = 638.25 square foot rectangle... so what's the area of the triangle? It's a right triangle with base = (12 + 8 + 6.5 - 18) = 8.5 feet and height = 33 + 13 - 11.5 = 34.5 feet, so its area is base * height / 2 = 146.625, so the total area should be 138 + 104 + 638.25 - 146.625 = 733.625 square feet.