Answer:
56 yd
Explanation:
You want the perimeter of the L-shaped figure shown.
Horizontal segments
In this figure, the sum of the top horizontal segments is the same as the bottom horizontal segment. This fact can be used to find the missing side length. It is ...
12 yd -8 yd = 4 yd
This also means we don't have to find the missing side length, because the sum of horizontal segments is simply twice the length of the bottom one.
Vertical segments
The sum of the left-side vertical segments is the same as the right side vertical segment. This means the sum of the vertical segments is twice the length of the right-side segment.
Perimeter
The perimeter is the sum of the lengths of the horizontal and vertical segments bounding the figure.
P = 2(12 yd +16 yd) = 2(28 yd) = 56 yd
The perimeter of the figure is 56 yd.
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Additional comment
The approach of comparing segment lengths in the same direction can save a lot of effort when working out perimeters. This is necessary for finding unknown lengths, but it can also show you that you may not need to know the unknown lengths.
You can see here that the corner cut does not alter the perimeter from that of the rectangle without the cut. In general, that will be true of any corner cut of any rectilinear shape.
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