Question

If the area of a parallelogram is 35/42 cm² and the height is 1/7 cm, write an equation that relates the height, base, and area of the parallelogram. Solve the equation.

Answer 1

Let A, b, h be, respectively, the area, base and height of the parallelogram. Then, the area of a parallelogram is given by

$A = \dfrac{1}{2}bh$

Plugging the known values for A and h, we have

$\dfrac{35}{42}=\dfrac{1}{2}\cdot b \cdot \dfrac{1}{7}$

We can multiply both sides by 14 to get

$\dfrac{35}{3}=b$