Chapter 1 - Equations and Inequalities - 1.5 Applications and Modeling with Quadratic Equations - 1.5 Exercises - Page 130: 22

7 and 12

Let x be the side of the smaller square. Then according to question. (x+5) is the side of the bigger square. Area of the square is given by $(side)^{2}$. Thus $(x+5)^{2}-x^{2}=95$ Simplify the expression $x^{2}+10x+25-x^{2}=95$ Combine the like terms and solve. $10x=70$ $x=7$ Thus side of smaller square = 7in And side of bigger square = 7+5 = 12in