The ratio of two similar parallelogram is 4:9. Find the height of the bigger one. If the height of the smaller one is 4cm.
If the ratio is 4:9 and the smaller is 4 cm, then the larger should be obvious.
The ratio of the area of two similar parallelogram is 4:9. Find the height of the bigger one. If the height of the smaller one is 4cm .
To find the height of the bigger parallelogram, we can use the concept of similarity.
When two figures are similar, all corresponding sides are in proportion. In this case, the ratio of the two parallel sides of the smaller parallelogram to the two parallel sides of the bigger parallelogram is 4:9.
Since we are given the height of the smaller parallelogram as 4 cm, we need to determine the corresponding height of the bigger one.
We can set up a proportion to solve for the unknown height. Let h be the height of the bigger parallelogram:
4/9 = 4/h
To solve for h, we can cross-multiply:
4h = 4 × 9
4h = 36
Dividing both sides of the equation by 4:
h = 9
Therefore, the height of the bigger parallelogram is 9 cm.