Area of polygon. House shape with 2 triangle on the bottom labeled 2. Dotted line straight across with line touching the v of the triangle. Bottom of house from straight bottom up is 4. 1is used under the eaves. Roof is 3 high

Answer 1

To find the area of the house shape with 2 triangles on the bottom, we first need to calculate the areas of the individual triangles and rectangle.

Each triangle has a base of 2 and a height of 3 (half of the total height of the house), so the area of each triangle is (1/2) * base * height = (1/2) * 2 * 3 = 3.

The rectangle has a width of 2 (the same as the base of the triangles) and a height of 1 (from the dotted line to the bottom of the house), so the area of the rectangle is width * height = 2 * 1 = 2.

Now, we add the areas of the two triangles and the rectangle together to find the total area of the house shape:

Total area = 2 triangles + rectangle
Total area = 2 * 3 + 2
Total area = 6 + 2
Total area = 8

Therefore, the area of the house shape with 2 triangles on the bottom is 8 square units.