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

Step-by-step 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.

1feet$

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