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

find the area of the figure below by first finding the areas of the rectangle and triangle. area of the rectangle: square units area of the triangle: square units area of the figure: square units

find the area of the figure below by first finding the areas of the rectangle and triangle. area of the rectangle: square units area of the triangle: square units area of the figure: square units

Answer

Explanation:

Step1: Find rectangle's area

Let's assume the rectangle has length $l = 4$ units and width $w = 3$ units. The area formula for a rectangle is $A_{rect}=l\times w$. So $A_{rect}=4\times3 = 12$ square units.

Step2: Find triangle's area

Let the base of the triangle $b = 2$ units and height $h = 2$ units. The area formula for a triangle is $A_{tri}=\frac{1}{2}\times b\times h$. So $A_{tri}=\frac{1}{2}\times2\times2= 2$ square units.

Step3: Find total - area

The area of the figure $A = A_{rect}+A_{tri}$. So $A=12 + 2=14$ square units.

Answer:

Area of the rectangle: 12 square units Area of the triangle: 2 square units Area of the figure: 14 square units