To solve this problem you must follow the proccedure shown below:
You have that:
- Two similar parallelograms have areas 125 m².
- The height of the larger parallelogram is 10 m. Then, you have:
125=10x
x: the base of the larger parallelogram
x=125/10
x=12.5 m
The ratio is:
b/h=12.5/10
b=1.25h
- The area of the smaller parallelogram is 80 m², then, you have:
80=bh
When you susbstitute b=1.25h into 80=bh, you obtain the value of "h":
80=(1.25h)h
80=1.25h²
h=√(80/1.25)
h=8
Then, the other base is:
b=1.25(8)
b=10 m
The answer is: The base of the smaller parallelogram is 10 m and the base of the larger parallelogram is 8 m.
