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Suppose that a rectangular piece of glass has a perimeter of 20 meters. if we multiply both its length and its width by 4, what will be the perimeter of the new rectangular piece of glass?

Respuesta :

The perimeter of the new rectangular piece of glass is 80m.

What is the perimeter of a rectangle?

  • The sum of all sides of a rectangle is the perimeter of the rectangle.
  • A rectangle has two equal lengths and two equal widths.
  • Therefore, the perimeter 'P' of a rectangle is the sum of two equal lengths and two equal widths.
  • That is, 'P=2l+2w' where 'l' is the length and 'w' is the width of the rectangle.

Here, a rectangular piece of glass has a perimeter of 20 meters.

As we know the perimeter P of a rectangle is given by the formula,

P = 2l+2w...(1)

Therefore,

20 = 2l + 2w

20 = 2(l + w)

20/2 = l + w

10 = l + w ....(2)

Now, both the length and width of the rectangle are multiplied by 4,

That is,

The new length of the rectangle is, l = 4l

The new width of the rectangle is, w = 4w

Therefore by substituting this in the equation(1) we get,

P = 2(4l) + 2(4w)

P = 8l + 8w

P = 8(l+w)....(3)

Substitute equation (2) in (3),

That is,

P = 8*10

P = 80m

Learn more about the perimeter of a rectangle at brainly.com/question/19819849

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