The measure of AD from the figure is 4in
Perimeter of a parallelogram
The opposite side of a parallelogram is equal. From the diagram;
8x - 5 = 3x + 10
Simplify and find x
8x - 3x = 10 + 5
5x = 15
x = 3
If the perimeter is 46 in, hence
2AD + 8x - 5. + 3x + 10 = 46
2AD + 24 - 5 + 9 + 10 = 46
2AD + 38 = 46
2AD = 8
AD = 4
Hence the measure of AD from the figure is 4in
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