Respuesta :

A) 2L + 2W  = 80
B) L = 3W or L -3W =0
Multiplying Equation B) by -2
B) -2L +6W = 0  then adding equation A
A) 2L + 2W = 80
8W = 80
Width =10
Length = 30


The dimensions of the floor are:

  • Length = 30m
  • Width = 10m

The length of the floor is three times its width.

Assuming the width is denoted as x, that means that the length is:

= 3 x width

= 3 × x

= 3x

The Perimeter is calculated as:

= (2 x Length) + ( 2 x Width)

Since we have the perimeter, we can solve for the dimensions:

80 = (2 × 3x) + (2 × x)

80 = 6x + 2x

80 = 8x

x = 80 / 8

x = 10m

If the width is 10m, the length would be:

= 3 × x

= 3 x 10

= 30 m

In conclusion, the length would be 30m and the width would be 10m.

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