Two sides of a parallelogram are 21 cm and 14 cm. If the height corresponding to the side of length 21 cm is 6 cm long, the length of the height corresponding to the side 14 cm will be ______.
Question
Two sides of a parallelogram are 21 cm and 14 cm. If the height corresponding to the side of length 21 cm is 6 cm long, the length of the height corresponding to the side 14 cm will be ______.
Solution
To find the length of the height corresponding to the side 14 cm, we need to use the formula for the area of a parallelogram, which is base times height (A = b*h).
First, we calculate the area of the parallelogram using the given base (21 cm) and height (6 cm): A = 21 cm * 6 cm = 126 cm²
Then, we use the area and the other base (14 cm) to find the corresponding height. We rearrange the formula to solve for height (h = A/b): h = 126 cm² / 14 cm = 9 cm
So, the length of the height corresponding to the side 14 cm is 9 cm.
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