Find the area of the following composite shape

Explanation

1. To find the area of the shape is to find the total area of the rectangle ABGH
   and then subtract the area of the smaller rectangle DEFC.
   • Shape area = ABGH Area - DEFC Area
2. Write the formula for the area of a rectangle.
   • A_rectangle = l × w
3. Identify the values of the pronumerals for the rectangle ABGH.
   • Rectangle ABGH: l = 9 + 2 + 9 = 20,  w = 10
4. Substitute the values of the pronumerals into
   the formula to find the area of the rectangle
   ABGH.
   • Area of ABGH = 20 × 10 = 200 cm²
5. Identify the values of the pronumerals for the
   rectangle DEFC.
   • Rectangle DEFC: l = 5, w = 2
6. Substitute the values of the pronumerals into
   the formula to find the area of the rectangle
   DEFC.
   • Area of DEFC = 5 × 2 = 10 cm²
7. Subtract the area of the rectangle DEFC from
   the area of the rectangle ABGH to find the
   area of the given shape.
   • Area = 200 − 10 = 190 cm²