Question

This wall is made up of stones each stone has a length of 16 cm and the perimeter of each stone is 42cm.Caculate the perimeter of the whole wall

Answer 1

42 n

Explanation:

Let's find the length of the other side of each stone:

Given:

Length of one side = 16 cm

Perimeter of the stone = 42 cm

Let find the width of the stone,

Perimeter = 2 * (Length + Width)

42 cm = 2 * (16 cm + x)

42 cm = 32 cm + 2x

2x = 42 cm - 32 cm

2x = 10 cm

x = 10 cm / 2

x = 5 cm

Therefore, the width of each stone is 5 cm.

The perimeter of each stone is given by adding up all four sides:

Perimeter = 2 * (Length + Width)

Perimeter = 2 * (16 cm + 5 cm)

Perimeter = 2 * 21 cm

Perimeter = 42 cm

So, the perimeter of each stone is indeed 42 cm.

Now, if the wall is built by placing these stones side by side:

The total perimeter of the wall can be calculated by finding the number of stones required to cover the entire wall length.

Let 'n' be the total number of stones needed to form the wall:

Total perimeter of the wall = Perimeter of one stone * Number of stones

Total perimeter of the wall = 42 cm * n

So, if you know the total number of stones used to build the wall ('n'), you can find the perimeter of the entire wall by multiplying the perimeter of one stone by the total number of stones.