Solve {l}{L=21/1}{W=32/5}{P=2L+2W}{a=P}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { L = \frac{21}{1} }\\ { W = \frac{32}{5} }\\ { P = 2 L + 2 W }\\ { a = P }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for L, W, P, a, b

$$b = \frac{274}{5} = 54\frac{4}{5} = 54.8$$

Solution Steps

Consider the first equation. Anything divided by one gives itself.

$$L=21$$

Consider the third equation. Insert the known values of variables into the equation.

$$P=2\times 21+2\times \frac{32}{5}$$

Multiply 2 and 21 to get 42.

$$P=42+2\times \frac{32}{5}$$

Multiply 2 and \frac{32}{5} to get \frac{64}{5}.

$$P=42+\frac{64}{5}$$

Add 42 and \frac{64}{5} to get \frac{274}{5}.

$$P=\frac{274}{5}$$

Consider the fourth equation. Insert the known values of variables into the equation.

$$a=\frac{274}{5}$$

Consider the fifth equation. Insert the known values of variables into the equation.

$$b=\frac{274}{5}$$

The system is now solved.

$$L=21 W=\frac{32}{5} P=\frac{274}{5} a=\frac{274}{5} b=\frac{274}{5}$$