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:

$h\times b=A=7$

where h is the hight and b is the base

and the other condition is:

$\frac{1}{4}b=h$

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

$\frac{1}{4}b\times b=7$

Now we solve the problem for b

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

so the base is equal to 5.6