Respuesta :

schurr

The surface area if the figure is all of the areas added together.

Find all the areas by splitting the shape into different pieces:

We can first start with the triangle.

The triangle area is: 1/2(b)(h)

1/2(4)(3)

2(3)

Triangle Area: 6

Now, we can find the area of the rectangles. You can find this by multiplying base × height:

3 · 4 = 12

4 · 1.5 = 6

Now add all your areas to get your surface area:

12 + 6 + 6 = 24 cm²

Answer:

24 cm²

ItzMikeSS

Answer: B

Step-by-step explanation:

We have a triangle and two rectangles.

Calculate each of these figures's area individually and add them together.

Let's begin with the triangle.

[tex]A=\frac{hb}{2}[/tex]

height: 3cm

base: 4cm

[tex]A=\frac{(3cm)(4cm)}{2} \\A=\frac{12cm^2}{2}\\ A=6cm^2[/tex]

Now let's do the same with the rectangle next to the triangle

[tex]A=l*w[/tex]

length: 4cm

width: 3cm

I can determine the length to be 4cm because the total length is 8cm and the base of the triangle has 4cm. Therefore, 8-4=4

[tex]A=(4cm)(3cm)\\A=12cm^2[/tex]

Let's do the same with the last rectangle underneath the one above.

[tex]A=l*w[/tex]

length: 4cm

width: 1.5cm

[tex]A=(4cm)(1.5cm)\\A=6cm^2[/tex]

Now add all these areas together:

[tex]6cm^2\\12cm^2\\6cm^2[/tex]

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[tex]24cm^2[/tex]

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