Question

find the perimeter and area of the rectangle of cardboard shown below.
12.3 cm
19.2 cm
(include appropriate units with each of your answers. picture not drawn to scale.)
perimeter:
area:
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Explanation:

Step1: Recall perimeter formula for rectangle

Perimeter of a rectangle is given by $P = 2(l + w)$, where $l=19.2\ \text{cm}$ (length) and $w=12.3\ \text{cm}$ (width).

Step2: Calculate the perimeter

$$\begin{align*} P &= 2(19.2 + 12.3)\\ &= 2(31.5)\\ &= 63 \end{align*}$$

Step3: Recall area formula for rectangle

Area of a rectangle is given by $A = l \times w$.

Step4: Calculate the area

$$\begin{align*} A &= 19.2 \times 12.3\\ &= 236.16 \end{align*}$$

Answer:

Perimeter: $63\ \text{cm}$
Area: $236.16\ \text{cm}^2$