Answer:
DA is 4 in.
Explanation:
The perimeter of parallelogram ABCD = 46 inches.
Let's say that the length of DA = x
And we know that the length of opposite sides of a parallelogram are congruent, or equal.
So AB and DC are opposite sides and are equal.
AB = DC
8x - 5 = 3x + 10
5x = 15
x = 3
The value of x is 5. Therefore the length of AB is,
AB = 8x - 5 = 8(3) - 5 = 19
AD and BC are opposite sides therefore the lengths of AD and BC are equal.
Perimeter = AB + BC + CD + DA
46 = 2(AB) + 2(AD)
46 = 2(19) + 2(AD)
8 = 2(AD)
AD = 8/2
AD = 4
So the value of AD is 4.