Drawer

The rectangular face of a drawer has a perimeter of 108 cm and a width of 18 cm. Find the length and the area of the rectangular face of the drawer.

Final Answer:

b =  36 cm
A =  648 cm²

Step-by-step explanation:

$$\begin{gathered} p=108\text{cm} \\ a=18\text{cm} \\ p=2(a+b) \\ b=\frac{p-2\cdot a}{2}=\frac{108-2\cdot 18}{2}=36\text{cm} \end{gathered}$$

$A=a\cdot b=18\cdot 36=648{\text{cm}}^2$

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