Question

NEED HELP!20 points find the area.

Answer 1

80 is correct each of the triangles are 2x2/2 therefore 1 triangle is 2 multiples by 4 so all triangles equal to 8 units. The rectangles are 6 by 2 so 6 multipled by 2 multiplied by 2 again because there are 2 rectangles is 24. 8+24=32. Middle section is 8x6 and that equals to 48. 48+32 is 80 therefore the area of this figure is 80 units

Answer 2

Answer:

80 square units

Step-by-step explanation:

These are rectangles and triangles.

The formula to get the area of a rectangle is its length multiplied by its width.

The formula to get the area triangle is its base multiplied by its height, then divided by 2.

Step 1: Rectangle area

The 3 rectangles all share the width of 6 units, so we can combine the 3 rectangles and consider it as 1 large rectangle.

The lengths of the rectangles are 2, 8, and 2 units.

We can add them together to get a total height of 12 units.

So, the formula to get the area of this rectangle is:
$6\times12= A$

By solving this, we get:
A = 72 square units

Step 2: Triangle area

There are 4 triangles remaining.

The base and height of all the triangles are 2 units.

So, by plugging these values into the triangle area formula, as mentioned from the beginning, we get:

$(2\times2)\div2=A$

So, the area of 1 triangle is 2 square units.

But since there are 4 triangles with the same bases and heights, we will multiply the area of 1 triangle by 4.

So, $4 \times 2 = A$

This means the area of all the triangles together is 8 square units.

Step 3: Total area

By adding the area of the triangles and rectangles together, we will get the answer.

$72+8 = A$

So, the total area of this box is 80 square units.