The area scale factor of two similar parallelogram is 4:9. Find the height of the bigger one if the smaller is of height 4cm
Just answer it for me with the full solution pls
Anwer:
9cm
nope. the heights are in ratio 2:3
To find the height of the bigger parallelogram, we can use the concept of area scale factor.
The area scale factor is the square of the length scale factor. In this case, the area scale factor is 4:9, so the length scale factor is the square root of the area scale factor.
Let's calculate the length scale factor:
Length scale factor = √(4/9)
= √(2²/3²)
= 2/3
Since the length scale factor is 2/3, it means that the dimensions of the bigger parallelogram are 2/3 times the dimensions of the smaller parallelogram.
Since the smaller parallelogram has a height of 4 cm, we can find the height of the bigger parallelogram by multiplying the height of the smaller one by the length scale factor:
Height of the bigger parallelogram = Height of the smaller parallelogram * Length scale factor
= 4 cm * 2/3
= 8/3 cm
= 2.67 cm (rounded to two decimal places)
Therefore, the height of the bigger parallelogram is approximately 2.67 cm.