Answer:
Length of the base is 21.34 inches.
Step-by-step explanation:
Area of parallelogram(A) is given by:
[tex]A = b \cdot h[/tex]
where b is the length of the base and h is the height of the parallelogram respectively.
As per the statement:
A parallelogram with an area of 160.5 in^2 has a height that measures 7.5 in.
Area of a parallelogram(A) = 160.5 square inches.
height of a parallelogram(h) = 7.5 in.
Then by formula of area of parallelogram we have;
[tex]160.5 = 7.5b[/tex]
Divide both sides by 7.5 we get;
21.34 = b
Therefore, the length of the base is 21.34 inches.