Question

5. The ratio of the length of a square to the length of a rectangle is 1:3.
If length of the rectangle is 45 cm. Find the perimeter of the square.​

Answer 1

Solution

Given :-

• The ratio of the length of a square to the length of a rectangle is 1:3
• Length of rectangle = 45 cm

Find :-

• the perimeter of the square.

Explanation

Using Formula

★ perimeter of square = 4 × ( Side)

★ perimeter of rectangle = 2 × ( Length + width)

Now Let,

• Length of rectangle = L
• Side of square = S

A/C to question,

The ratio of the length of a square to the length of a rectangle is 1:3

==> S : L= 1:3

==> S/L = 1/3

==> 3S - L = 0 ---------(1)

But, L = 45 cm

==> 3S - 45 = 0

==> 3S = 45

==>S = 45/3

==>S = 15

Now, Calculate perimeter of Square

==> perimeter of Square = (Side)²

==> perimeter of Square = 15²

==> perimeter of Square = 225 cm

Hence

• Side of Square be = 15 cm
• perimeter of Square = 225 cm

________________

Answer 2

Answer:

15 and 225 is answer of question