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

Answer:

Area of the rectangle: 6 square units Area of the triangle on the left: 2 square units Area of the triangle on the right: 2 square units Area of the figure: 10 square units

Explanation:

Step1: Find rectangle area

Count length and width. Length = 3 units, width = 2 units. Area of rectangle $A_{r}=l\times w=3\times2 = 6$ square units.

Step2: Find left - triangle area

Base of left - triangle $b = 2$ units, height $h = 2$ units. Area of triangle $A_{t1}=\frac{1}{2}\times b\times h=\frac{1}{2}\times2\times2 = 2$ square units.

Step3: Find right - triangle area

Base of right - triangle $b = 2$ units, height $h = 2$ units. Area of triangle $A_{t2}=\frac{1}{2}\times b\times h=\frac{1}{2}\times2\times2 = 2$ square units.

Step4: Find total area

Total area $A = A_{r}+A_{t1}+A_{t2}=6 + 2+2=10$ square units.