Question

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

Explanation:

Step1: Determine rectangle dimensions

From grid, rectangle has length \( l = 5 \) units, width \( w = 2 \) units. Area of rectangle: \( A_{\text{rect}} = l \times w = 5 \times 2 = 10 \) square units.

Step2: Determine triangle dimensions

Triangle has base \( b = 2 \) units, height \( h = 1 \) unit. Area of triangle: \( A_{\text{tri}} = \frac{1}{2} \times b \times h = \frac{1}{2} \times 2 \times 1 = 1 \) square unit.

Step3: Find total area

Total area = Area of rectangle + Area of triangle = \( 10 + 1 = 11 \) square units.

Answer:

Area of the rectangle: \( 10 \) square units
Area of the triangle: \( 1 \) square units
Area of the figure: \( 11 \) square units