Question

Of two squares side of larger are 4cm longer than smaller and the area of larger is 56 squares cm more. what is the length of the sides of each?​

Answer 1

ANSWER

Let the side of square (1) = s 1

The side of 2 nd square = a

Acc to Ques :s=5+a _ (1)

and s 2 +a 2 =325 _ (2)

so, (5+a)

2 +a 2 =325

25+a 2 +10a+a 2 =325

2a 2 +10a=300

2a 2 +10a−300=0

a 2 +15a−5a−150=0

(a+15)(a−5)=0

∴a=5and s=10

∴ side of smaller square = 5 cm

side of larger square = 10 cm

I hope my answer will help you .