Distribute the figure into three rectangles, namely, A, B and C as shown in the picture.
We know that,
Area of a rectangle
= 2(l + b)
Now,
Consider rectangle A,
Length = 25in
Breadth = 15in
Hence,
Area = 2 (l + b)
= 2 (25 + 15)
= 2 (40)
= 80in²
Consider rectangle B,
Length = 25 - 7 = 18in
Breadth = 16in
Hence,
Area = 2 (l + b)
= 2 (18 + 16)
= 2 (34)
= 68in²
Consider rectangle C,
Length = 11in
Breadth = 24in
Hence,
Area = 2 (l + b)
= 2 (24 + 11)
= 2 (35)
= 70in²
Area of the figure
= Area of rectangle A + Area of rectangle B + Area of rectangle C
= 80in² + 68in² + 70in²
= 218in²