Problem 14 of 34geo-014
An L-shaped floor has only right-angle corners. Going once around the room, its six walls measure 12, 5, 7, 4, 5 and 9 feet, in that order. What is the area of the floor, in square feet?
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Solution walkthrough1:32
- Sketch the room from the wall lengths: across , up , back , up , back , down .
- There is no formula for an L, so cut it into two rectangles. Area of a rectangle is length times width.
- Bottom rectangle: . Top rectangle: .
- The two rectangles cover the whole floor with no overlap, so add: square feet.
- Traps: adds the six walls, is one rectangle only, and counts the empty corner.