Question

The sides of the large square are double
the sides of the small square. Howmany
times the perimeter of the small square is
the perimeter of the large square?​

Answer 1

Answer:

2 times the perimeter of the small square is the perimeter of the large square.

Step-by-step explanation:

Given :

The sides of the large square are double  the sides of the small square.

To find :

how many times the perimeter of the small square is  the perimeter of the large square

Solution :

Let the side of the smaller square be x units

As the sides of the large square are double  the sides of the small square, the side of the larger square = 2x units

Perimeter of the small square :

side = x units

Perimeter of the square = 4 × side

Perimeter of the small square = 4 × (x) units

Perimeter of the small square = 4x units

Perimeter of the large square ;

side = 2x units

Perimeter of the square = 4 × side

Perimeter of the large square = 4 × (2x) units

Perimeter of the large square = 8x units

Let's assume a times the perimeter of the small square is the perimeter of the large square.

a × (4x) = 8x

a = 8x/4x

a = 2

Therefore, 2 times the perimeter of the small square is the perimeter of the large square.