The length of the side of the big square is 13 in. while that of the smaller square is 10 in.
Square is a quadrilateral in which all the sides are equal to each other. Also opposite sides are parallel to each other and all angles measure 90 degrees.
Let a represent the length of the bigger square side and b represent the length of each side of the smaller square, hence:
a = b + 3 (1)
Also:
a² + b² = 269
(b + 3)² + b² = 269
2b² + 6b - 260 = 0
b = -13 or 10. Since b cannot be negative hence b = 10.
a = b + 3 = 10 + 3 = 13
The length of the side of the big square is 13 in. while that of the smaller square is 10 in.
Find out more on squares at: https://brainly.com/question/25092270
