Finding The Area Of The Shaded Region Step-By-Step (2 Different Ways)
There are two ways to solve this:
1st Way
The first way is to divide this into two parts.
Firstly find the area of a smaller rectangle and then the area of the total rectangle.
Then subtract the area of the smaller triangle from the total area of the rectangle.
Area of the smaller rectangle
Width of white rectangle = 30cm – 8cm = 22cm
Length of white rectangle = 15cm – 4cm = 11cm
Area of white rectangle = 22cm * 11cm = 242 cm^2
The total area of the rectangle
Area of total rectangle = 30cm * 15cm = 450cm^2
Area of the shaded region
Area of shaded area = 450cm – 242cm = 208cm^2
2nd Way
The second way is to divide the shaded part into 3 rectangles.
Then add the area of all 3 rectangles to get the area of the shaded region.
Rectangle A
Area of rectangle A = 8cm * 11cm = 88cm^2
Rectangle B
Area of rectangle B = 8cm * 4cm = 32cm^2
Rectangle C
Area of rectangle C = 22cm * 4cm = 88cm^2
Area of the shaded region
Area of shaded area = 88cm^2 + 32cm^2 +88cm^2 = 208cm^2
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