Question

The perimeter of a square is 26cm.the area of another square is 121cm2find out the ratio of thier side

Answer 1

Answer:

If the perimeter of the given square is 26 cm and the area of another square is 121$cm^{2}$

then the ratio of their sides is 13:22

Step-by-step explanation:

Let A and B be two squares with sides a and b respectively

Given the perimeter of the square A = 26 cm

The perimeter of a square = 4*side

Therefore, the perimeter of the square A = 4a

That is, 26 cm = 4a

a = 26/4 = 13/2 cm

Therefore, the side of the square A = 13/2 cm

Given the area of the square B = 121$cm^{2}$

The area of a square = side * side

That is 121 = $b^{2}$

$b^{2}$ = 121

b= $\sqrt{121}$

b = 11 cm

Therefore, the side of the square B = 11 cm

The ratio of the side of the square A to the side of square B = $\frac{\frac{13}{2}}{11}$

$= \frac{13}{2*11} \\\\= \frac{13}{22}$

Therefore, The ratio of the side of the square A to the side of square B = 13:22