Question

How to find length and width of rectangle with perimeter?

Answer 1

If the perimeter is known, you can get the sum of length and width. But, for anything beyond this, you need to know area as well.

Explanation:

Perimeter = (2 x L) + (2 x W)

So, you would divide the perimeter by two to get the value of length + width. To find the length and width separately, you would need to make some assumptions or have more information.

For example, if you know that the rectangle is a square, the length and width are equal.

If you know the ratio of length to width, you can use that information to determine the individual values.

For anything else, you'd need the area.

Answer 2

In order to find the length and width of a rectangle with perimeter, we can use the following steps:

Write down the perimeter formula.

The perimeter of a rectangle is the total length of all the sides of the rectangle.

The formula for the perimeter of a rectangle is:

Perimeter = 2(length + width)

Substitute the known perimeter value.

Solve for the length and width.

For example, let's say the perimeter of a rectangle is 100 cm.

We can solve for the length and width using the following steps:

Perimeter = 2(length + width)

100 cm = 2(length + width)

50 cm = length + width

length = 50 cm - width

Now, we can plug in any value for the width to find the length.

For example, if we say that the width is 20 cm, then the length of the rectangle would be:

50 cm - 20 cm = 30 cm.

We can also solve for the width of the rectangle using the following steps:

Perimeter = 2(length + width)

100 cm = 2(length + 20 cm)

50 cm = length + 20 cm

length = 50 cm - 20 cm

width = 30 cm

Therefore, the length and width of the rectangle with a perimeter of 100 cm are 30 cm and 20 cm, respectively.

We can use the same steps to find the length and width of any rectangle with a known perimeter.