Answer:
The area of square A is 256 cm²
Step-by-step explanation:
- <em>The four sides of a square are equal in length</em>
- <em>Area of a square = side × side</em>
In the given figure
∵ The sides of the square E = 2 cm each
∵ The sides of the square F = 2 cm each
∵ The side of square D is the sum of the sides of squares E and F
∴ The sides of the square D = 2 + 2 = 4 cm each
∵ The side of square C is the sum of the sides of squares E and D
∴ The sides of square C = 2 + 4 = 6 cm each
∵ The side of square B is the sum of the sides of squares C, E, and F
∴ The sides of square B = 6 + 2 + 2= 10 cm each
∵ The side of square A is the sum of the sides of squares B, F, and D
∴ The sides of square A = 10 + 2 + 4= 16 cm each
∵ Area of square A = side × side
∴ Area of square A = 16 × 16
∴ Area of square A = 256 cm²
∴ The area of square A is 256 cm²
