find the area of the figure below by first finding the areas of the rectangle and triangles. area of the…

Explanation:

Step1: Assume rectangle dimensions

Let's assume the rectangle has length $l$ and width $w$. From the grid - if we count the units, assume $l = 4$ units and $w=3$ units. The area formula for a rectangle is $A_{r}=l\times w$. $A_{r}=4\times3 = 12$ square units

Step2: Find area of top - triangle

The top - triangle has base $b = 2$ units and height $h = 1$ unit. The area formula for a triangle is $A_{t}=\frac{1}{2}\times b\times h$. $A_{t}=\frac{1}{2}\times2\times1=1$ square unit

Step3: Find area of bottom - triangle

The bottom - triangle has base $b = 2$ units and height $h = 1$ unit. Using the area formula for a triangle $A_{b}=\frac{1}{2}\times b\times h$. $A_{b}=\frac{1}{2}\times2\times1 = 1$ square unit

Step4: Calculate area of the figure

The area of the figure $A$ is the sum of the area of the rectangle, the area of the top - triangle, and the area of the bottom - triangle. $A=A_{r}+A_{t}+A_{b}=12 + 1+1=14$ square units

Answer:

Area of the rectangle: 12 square units Area of the triangle on the top: 1 square unit Area of the triangle on the bottom: 1 square unit Area of the figure: 14 square units