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the length of a rectangle is four times its width
the rectangle has an area of 1024cm squared

Work out the WIDTH of the rectangle

Respuesta :

ncsftw
L = 4*W
L*W = 1024
4W^2 = 1024
W^2= 256
W=16
L= 64
sqdancefan

Answer:

  16 cm

Step-by-step explanation:

If W is the width of the rectangle, then the length is ...

  L = 4W

The area is the product of length and width:

  A = LW

  1024 cm² = (4W)(W) = 4W² . . . . substitute for L

  256 cm² = W² . . . . . . . . divide by 4

  16 cm = W . . . . . . . . take the square root

The width of the rectangle is 16 cm.

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