Question

Please help me this is to difficult

Answer 1

14 square units

Explanation:

The given shaded polygon comprises two triangles that share a common base:

• The top triangle has a base measuring 4 units and a height measuring 4 units.
• The bottom triangle has a base measuring 4 units and a height measuring 3 units.

To find the total area of the shaded polygon, we can sum the areas of these two triangles.

The area of a triangle is half the product of its base and height. Therefore, we can calculate the total area as follows:

`\begin{aligned}\textsf{Total area}&=\textsf{Area of triangle 1}+\textsf{Area of triangle 2}\\\\&=(1)/(2)(4 \cdot 4)+(1)/(2)(4 \cdot 3)\\\\&=(1)/(2)(16)+(1)/(2)(12)\\\\&=8+6\\\\&=14\;\sf square\;units\end{aligned}`

So, the total area of the shaded polygon is 14 square units.

Answer 2

14 square units

Explanation:

The given polygon is the mixture of two triangles. we can find the total area of polygon by adding area of triangles.

Area of Triangles is given by formula:

Area of Triangles = ½ base × height

For Upper triangle:

• Base = 4 units
• Height = 4 units

Now

Substituting value in above formula, we get:

Area of upper triangle = ½ × 4 × 4

= 8 square units

For Lower triangle:

• Base = 4 units
• Height = 3 units

Now

Substituting value in above formula, we get:

Area of lower triangle = ½ × 4 × 3

= 6 square units

Now,

Total area of polygon = Area of upper triangle + Area of lower triangle

= 8 square units + 6 square units

= 14 square units

Therefore, the area of the polygon is 14 square units.