Question

What is the surface area of the figure?​

Answer 1

Answer: B

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.

`A=(hb)/(2)`

height: 3cm

base: 4cm

`A=((3cm)(4cm))/(2) \\A=(12cm^2)/(2)\\ A=6cm^2`

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

`A=l*w`

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

`A=(4cm)(3cm)\\A=12cm^2`

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

`A=l*w`

length: 4cm

width: 1.5cm

`A=(4cm)(1.5cm)\\A=6cm^2`

Now add all these areas together:

`6cm^2\\12cm^2\\6cm^2`

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`24cm^2`

Answer 2

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