Question

The measurement of some squares are given in the table below however, they are incomplete. find the missing information 1 sqare ,side=15cm,area=225cm²,perimeter =?2 square ,side=?area=?,perimeter=88cm​

Answer 1

(1) The perimeter of the square = 60 cm

(2)The length of side of the square is =22 cm.

The area of the square=484 cm²

Step-by-step explanation:

(1)

Square:

1. The length of all sides are congruent.
2. The length of diagonals are equal.
3. The sum of all angles is 360°.
4. Each angle is equal to 90°.
5. The perimeter = 4×side.
6. The area= side²

Given that the area of the square is 225 cm²

and the side = 15 cm

Therefore the perimeter of the square = (4×15) cm

                                                                 =60 cm

(2)

Perimeter= 88cm

Consider x be the length of the square.

Then perimeter = (4× x) cm

According to the problem,

4x=88

$\Rightarrow x=\frac{88}{4}$

⇒x=22

Therefore the length of side of the square is =22 cm.

The area of the square = 22² cm²

                                      =484 cm²