Question

A parallelogram has an area of 7 square units if the highest that response to a base is 1/4 units what is the base

Answer 1

the area of any parallelogram is equal to:

`h* b=A=7`

where h is the hight and b is the base

and the other condition is:

`(1)/(4)b=h`

Now we have two equation and two variables, so we solve the system by replacin the second equation into the first equation.

`(1)/(4)b* b=7`

Now we solve the problem for b

`\begin{gathered} b((1)/(4)+1)=7 \\ b((1+4)/(4))=7 \\ b(5)/(4)=7\text{ } \\ b=7(4)/(5) \\ b=5.6 \end{gathered}`

so the base is equal to 5.6