Question

of two squares the side of the larger are 3 cm longer than that of the smaller and the area of the larger is 53 cm2 more what is the length of the sides of each ​

Answer 1

Answer:

Step-by-step explanation:

The length of a side of the larger square is 3 cm more than the length of a side of the smaller square. let the side of the smaller square is a cm then larger square has sides a+3 cm The sum of the area of two squares is 89 square centimeters. so a^2+(a+3)^2=89 or a^2+a^2+9+6a=89 or 2a^2+6a-80=0 or a^2+3a-40=0 or a^2+8a-5a-40=0 or a(a+8)-5(a+8)=0