A rectangle's perimeter and area have the same value. The width of the rectangle is 6 units. What is the length of the rectangle in units?

Respuesta :

Answer:

The length ot rectangle is 3 units.

Step-by-step explanation:

The formula for perimeter is P = 2l + 2w and the area is A = l×w. Assuming that the perimeter and area have the same values so you have to compare it :

[tex]perimeter = 2l + 2w[/tex]

[tex]area= l \times w[/tex]

[tex]perimeter = area[/tex]

[tex]2l + 2w = lw[/tex]

[tex]let \: w = 6[/tex]

[tex]2l + 2(6) = 6l[/tex]

[tex]2l + 12 = 6l[/tex]

[tex]12 = 6l - 2l[/tex]

[tex]4l = 12[/tex]

[tex]l = 3 \: units[/tex]