Chapter 1: Q60. (page 25)

Solve each equation or formula for the specified variable.
$A = \frac{1}{2} h (a + b)$ , for b.

Short Answer

Expert verified

The required answer is $\frac{2 A - h a}{h} = b$ .

Step by step solution

Step 1- Simplify the right side of the equation

Use distributive property $a (b + c) = a b + a c$ on right side of the equation.

$A = \frac{1}{2} a h + \frac{1}{2} b h$

– Isolate the variable y

Perform subtraction of $\frac{1}{2} a h$ on both the sides of the equation.

$\begin{array}{l} A - \frac{1}{2} a h = \frac{1}{2} a h + \frac{1}{2} b h - \frac{1}{2} a h \\ A - \frac{1}{2} a h = \frac{1}{2} b h \end{array}$

Perform division of $\frac{1}{2} h$ on both the sides of the equation.

$\begin{matrix} \frac{A - \frac{1}{2} a h}{\frac{1}{2} h} = \frac{\frac{1}{2} b h}{\frac{1}{2} h} \\ \frac{2 A - h a}{h} = b \end{matrix}$

Step 3- Make the conclusion

As the variable b is isolated so the value equivalent to it represents its value.

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Solve each equation or formula for the specified variable.
$A = \frac{1}{2} h (a + b)$ , for b.

Short Answer

Step by step solution

Step 1- Simplify the right side of the equation

– Isolate the variable y

Step 3- Make the conclusion

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Solve each equation or formula for the specified variable.A=12ha+b, for b.

Short Answer

Step by step solution

Step 1- Simplify the right side of the equation

– Isolate the variable y

Step 3- Make the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Solve each equation or formula for the specified variable.
$A = \frac{1}{2} h (a + b)$ , for b.