in a parallelogram the altitude is three times the length of the base . its area is 7500cm². Find the length of the base and the altitude
Answers
Step-by-step explanation:
The length of the base is 50 \ cm50 cm
The altitude of the parallelogram is 150 \ cm150 cm
Explanation:
Let x be the length of the base.
Thus, b=xb=x
It is given that the altitude of the parallelogram is 3 times the length of the base.
Thus, h=3xh=3x
It is also given that the area of parallelogram is 7500 \ cm7500 cm
To determine the length of the base and altitude, let us substitute these values in the area of the parallelogram formula,
Area = bhArea=bh
7500=(x)(3x)7500=(x)(3x)
7500=3x^27500=3x2
2500=x^22500=x2
\pm50=x±50=x
The value of x cannot be negative.
Hence, x=50x=50
Substituting the values of x in the base and altitude, we have,
Base b=50 \ cmb=50 cm
Altitude h= 3x= 3(50)=150 \ cmh=3x=3(50)=150 cm
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Step-by-step explanation:
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