The height of a parallelogram is one-third its base. If the area of the parallelogram is 363 square inches, find its base and he
ight. (Draw a diagram.)
1 answer:
Answer:
Height = 11 inches
Base = 33 inches
Step-by-step explanation:
In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.
From the question, we are told that height is 1/3 of base. This means that base is 3 times the height
So if we represent the height with variable h, then the base is 3h
Mathematically the area of a parallelogram can be calculated by the formula
A = bh
Thus ,
363 = h * 3h
3h^2 = 363
divide through by 3
h^2 = 121
h = √121
h = 11 inches
since b = 3h , then b = 3 * 11 = 33 inches
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So we apply the first property in the first expression given by the question:
And we solve the second integral:
Then we take the last equation and we subtract 10 from both sides:
And we divide both sides by 2:
Then we apply the second property to this integral:
Then we use the other equality in the question and we get:
We substract 8 from both sides:
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