1 Answer

WAQ · Answer 1 · 2023-06-13T23:52:43+0000

ANSWER

$317.1\operatorname{cm}^2$

Step-by-step explanation

We want to find the total surface area of the figure given.

To do this, we have to find the area of each shape given in the figure and then add them together.

We have two triangles (of the same dimensions) and three rectangles (of the same dimensions) given.

The area of a triangle is given as:

$\begin{gathered} A=(1)/(2)\cdot b\cdot h \\ b=\text{base} \\ h=\text{height} \end{gathered}$

From the question:

b = 7 cm

h = 6 cm

Therefore:

$\begin{gathered} A=(1)/(2)\cdot7\cdot6 \\ A=21cm^2 \end{gathered}$

The area of a rectangle is given as:

$\begin{gathered} A=L\cdot W \\ L=\text{length} \\ W=\text{width} \end{gathered}$

From the question:

L = 13.1 cm

W = 7 cm

Therefore:

$\begin{gathered} A=13.1\cdot7 \\ A=91.7\operatorname{cm}^2 \end{gathered}$

Now, we add the area of two triangles and the area of three rectangles:

$\begin{gathered} \text{TSA}=(2\cdot21)+(3\cdot91.7) \\ \text{TSA}=42+275.1 \\ \text{TSA}=317.1\operatorname{cm}^2 \end{gathered}$

That is the total surface area.

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