Question

Please show me step by step so I can learn to explain it to my son.

Answer 1

These are the steps:
1. Find the area of the trapezium {Whole figure).
2. FInd the area of the rectangle (unshaded).
3. Area of the shaded = Area of trapezium - Area of the rectangle.

Step 1:  Find the area of the trapezium:

Formula : Area of trapezium = 1/2 (a + b)h 

Area = 1/2 ( 25 + 15) (12) = 240 yd²

Step 2 : Find the area of the rectangle:

Formula : Area = Length x Width

Area = 12 x 3 = 36 yd²

Step 3: Find the shaded region:

240 - 36 = 204 yd²

Answer: 204 yd²