Answer
The provided statement makes sense.
Work Step by Step
Variation formulas are the formulas that define the relation between two quantities such that if one quantity varies, we will know how it affects another quantity. Quantities can vary in many ways in relation to each other.
Joint variation is the type of variation where many variables vary directly as soon as one or two variables changes in a system. Joint variation can be defined as:
$y=kxz$
Here quantity y varies directly as soon as x and z varies, and k is known to be constant of variation.
Now, the area of the trapezoid is as given below:
$A=\frac{1}{2}h\left( {{b}_{1}}+{{b}_{2}} \right)$
We can see that A is a product of two variables, height h and the sum of its bases $\left( {{b}_{1}}+{{b}_{2}} \right)$.
So, if the area increases, the height and base of the trapezoid will simultaneously increase.
Thus, the given statement makes sense.
