Question

the side of a square exceeds the side of another square by 5 cm the difference of their area is 325 square cm find the side of each square
​

Answer 1

Answer:

1) 30 cm

2) 35 cm

Step-by-step explanation:

Let the side of the first square be x cm.

The side of the second square will be (x + 5) cm.

According to the question,

$(x + 5)^{2} - x^{2} = 325cm^{2}$ [Area of a square equals to the square of 1 of its

                                      sides, since, all the sides of a square are equal.]

Expanding the first term,

$x^{2} + 25 + 10x - x^{2} = 325$

25 + 10x = 325

10x = 325 - 25

10x = 300

∴ x = $\frac{300}{10}$

x = 30

Side of the first square = x cm

                                      = 30 cm

Side of the second square = (x + 5) cm

                                             = (30 + 5) cm

                                             = 35 cm