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KatRina [158]
3 years ago
5

The length of a rectangle is twice its width. The perimeter of the rectangle is 30 cm. What are the length and width? a) Set up

the variables: Let ______ represent the width; Then_____ will represent the length. b)What is the equation that represents the above situation? c)solve the equation d)the length and width are?
Mathematics
1 answer:
Helga [31]3 years ago
3 0

Answer:

  • 10 cm and 5 cm

Step-by-step explanation:

a) Set up the variables:

Let <u>x</u> represent the width; Then <u>2x</u> will represent the length.

b) What is the equation that represents the above situation?

<u>Use perimeter formula:</u>

  • P = 2( l + w)

As we set up w = x and l = 2x, and we know that the perimeter is 30 cm, we can build an equation by substituting the values we know or set up:

  • 30 = 2( 2x + x)

c) solve the equation

  • 30 = 2( 2x + x)
  • 30 = 2(3x)
  • 30 = 6x
  • x = 30/6
  • x = 5

d) the length and width are?

  • The width is 5 cm and the length is twice the width, 5*2 = 10 cm
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