9514 1404 393
Answer:
50 yd
Explanation:
These L-shaped figures are interesting in that their perimeter is identical to that of the enclosing rectangle. That rectangle has a height of 14 yd and a width of 11 yd. Its perimeter is ...
P = 2(H+W)
P = 2(14 yd + 11 yd) = 2(25 yd) = 50 yd . . . . perimeter of the figure
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You can see that the right-side vertical segments have a total length equal to the left-side vertical segment. The same is true for the horizontal segments: the bottom horizontal segments have the same total length as the top horizontal segment.
The top and bottom horizontal segments are the same length, as are the left and right vertical segments. That is the same statement that can be made about a rectangle.
For finding perimeter, you don't need to know the dimensions of the legs of the L. (You do need to know them if you're finding area.) You only need to know that all corners are right angles.