Question 904387
length of side of smaller square =x
area = x^2

length of side of larger square = (x+5)
area = (x+5)^2

x^2+(x+5)^2=53

x^2+x^2+10x+25=53

2x^2+10x-28=0
2x^2+14x-4x-28=0

2x(x+7)-4(x+7)=0

(2x-4)(x+7)=0

2(x-2)(x+7)=0

x=2cm is the side of smaller square

2+5 =7cm is the length of side of larger square