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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Let the side of the larger square be x. Let the side of the smaller square be y. According to the question, x² + y² = 468 --------- (1) Perimeters of the squares = 4x and 4y. ⇒ 4x - 4y = 24 ⇒ x– y = 6 ⇒ x= 6 + y x² + y² = 468 Substituting the value of x in equation (1) ⇒ (6+y)² + y² = 468 ⇒ 2y² + 12y + 36 = 468 ⇒ y²+ 6y + 18 = 234 ⇒ y² + 6y - 216 = 0 ⇒ (y – 12)(y + 18) = 0 ⇒ y = 12 or -18 Since y denotes a length, it cannot be negative. ∴ y = 12 ⇒ x = (12 + 6) = 18 m