Chapter 1.7, Problem 1QR

Solution

To solve: The given formula for given variable.

The required value of variable h is $2A/b$ .

Given data:

The given formula to be solved for the variable ‘ h’ is $A=\frac{1}{2}bh$ .

Method/Formula used:

Using four mathematical operations addition (+), multiplication (, division, and subtraction isolate the required variable.

Calculations:

The given formula is $A=\frac{1}{2}bh$ , from which variable h can be determined as follows:

   $\begin{array}{c}A=\frac{1}{2}bh\leftarrow \text{pre-multiply by 2 on both the sides}\\ 2\times A=\cancel{2}\times \frac{1}{\cancel{2}}bh\leftarrow \text{cancel}\text{2}\\ 2\times A=bh\leftarrow \text{divide}\text{both}\text{sides by }b\\ \frac{2A}{b}=\frac{\cancel{b}h}{\cancel{b}}\leftarrow \text{cancel}b\\ \frac{2A}{b}=h\end{array}$

Therefore, the value of variable h is $2A/b$ .