Question

Mr Ahuja is willing to buy a plot he goes to the property dealer property dealer suggests him a plot whose length is 7m more than it width perimeter of plot is 76m

Answer 1

Answer:

Let x be the length of the side of first square and y be the length of side of the second square. Then, x2 + y2 = 15425 ...(i) Let x be the length of the side of the bigger square. 4x – 4y = 60 ⇒ x – y = 15 or x = y + 15 ...(ii) Putting the value of x in terms of y from equation (ii), in equation (i), we get (y + 15)2 + y2 = 15425 ⇒ 2y2 + 30y – 15200 = 0 or y2 + 15y – 7600 = 0 or (y + 95)(y – 80) = 0 ⇒ y = – 95, 80 But, sides cannot be negative, so y = 80 Therefore, x = 80 + 15 = 95 Hence, sides of two squares are 80 m and 95 m.Read more on Sarthaks.com - https://www.sarthaks.com/36379/ahuja-square-plots-which-utilises-different-purposes-providing-education-children-below