Question

The height of a parallelogram is 5 feet more than its base. If the area of the parallelogram is 204 feet, find its base and height

Answer 1

Explanation:

Let

base=x

height=x+5

we know that in a parrelogram

`\boxed{\sf Area=base×height}`

• Substitute the values

`{:}\rightarrowtail\sf x(x+5)=204`

`{:}\rightarrowtail\sf x^2+5=204`

`{:}\rightarrowtail\sf x^2=204-5`

`{:}\rightarrowtail\sf x^2=199`

`{:}\rightarrowtail\sf x=\sqrt {199}`

`{:}\rightarrowtail\sf x=14.1`

`{:}\rightarrowtail\sf base=14.</p><p>1feet`

`{:}\rightarrowtail\sf Height =14.1+5=19.1feet`