The figure ABCDE is made up of a square and a triangle. BC = CD = 14 cm. Find the area of the figure.  Answer:

Sure, I can help with that. The figure ABCDE consists of a square (BCDE) and a triangle (ABC).

Step 1: Find the area of the square Since BC = CD = 14 cm (given), the area of the square (BCDE) is side^2 = 14^2 = 196 cm^2.

Step 2: Find the area of the triangle The triangle (ABC) is a right triangle with base BC = 14 cm (same as the side of the square) and height AB = 14 cm (same as the side of the square). The area of a triangle is 1/2 * base * height = 1/2 * 14 * 14 = 98 cm^2.

Step 3: Add the areas of the square and the triangle to find the total area of the figure ABCDE Area of ABCDE = Area of square BCDE + Area of triangle ABC = 196 cm^2 + 98 cm^2 = 294 cm^2.

So, the area of the figure ABCDE is 294 cm^2.