Question

1. The side of a square exceeds the side of another square by 5 cm and the sum of the area of two
squares is 325 cm². Find the side of each square.​

Answer 1

Answer:

side of smaller square = 5 cm

side of larger square = 10 cm

Step-by-step explanation:

Let the side of square (1) = s  1

The side of 2  nd  square = a

According 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

a2  +15a−5a−150=0

(a+15)(a−5)=0

∴a=5

and s=10

∴ side of smaller square = 5 cm

side of larger square = 10 cm