Base = 12 ft
Height = 5 ft
Step-by-step explanation:
Let b be the base of the parallelogram
and
h be the height of parallelogram
Given
Area = 60 ft^2
The base of a parallelogram is 7 ft more than the height.
b = h+7
The formula for area of parallelogram is:
[tex]Area = base * height[/tex]
Putting the values
[tex]60 = h(h+7)\\\\h^2+7h=60\\h^2+7h-60=0\\h^2+12h-5h-60=0\\h(h+12)-5(h+12)=0\\(h+12)(h-5) = 0\\h+12 = 0 => h=-12\\h-5=0 => h=5[/tex]
As the measurement of length cannot be negative so h = 5
Putting h= 5 in b=h+7
b = 5+7 = 12 ft
Hence,
Base = 12 ft
Height = 5 ft
Keywords: Area, Parallelogram
Learn more about parallelogram at:
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