Lindatmco Lindatmco
  • 15-03-2015
  • Mathematics
contestada

If the area of a rectangle is 864 sq ft and the width is 2/3 it's length,what is the length?

Respuesta :

arnfrs
arnfrs arnfrs
  • 15-03-2015
length = [tex]l[/tex]
width = w = [tex]\frac{2}{3}\cdotl[/tex]

[tex]l\cdot\frac{2}{3}l = 864[/tex]

[tex]\frac{2}{3}l^2 = 864[/tex]

[tex]l^2 = 864\cdot\frac{3}{2}[/tex]

[tex]l^2 = 1296[/tex]

[tex]\boxed{l=36}[/tex]

[tex]w=\frac{2}{3}\cdot36[/tex]

[tex]\boxed{w=24}[/tex]


Answer Link
Аноним Аноним
  • 15-03-2015
[tex] \frac{2}{3}x*x= \frac{2}{3} x^{2} [/tex]

[tex] \frac{2}{3} x^{2} =864 [/tex]

[tex] x^{2} = 1296[/tex]

[tex]x=36[/tex]

[tex] \frac{2}{3}(36)=24 [/tex]

[tex]Length=36[/tex]
[tex]Width=24[/tex]
Answer Link

Otras preguntas

Laura's family is going on a driving vacation. They will drive 4180 miles over the next two weeks.about how many miles will they drive on average each week?
"Use function notation to write the equation of the line: "
"Quadrilateral ABCD underwent a sequence of transformations to give quadrilateral A′B′C′D′. Which transformations could have taken place? a reflection across t
In a dice game, you win if the two dice come up 7. Otherwise, you lose $1. What should be the profit for winning to make this game fair?
2(2x - 4) + x = 7 whats x?
how much cooler are sunspots than the sun
7m − 5 − 13m = 25 what is m???
3t – 18t + 4 = -26 what is t? and explenation please Thanks!!!
what is 347316029 written in word form
A scientists attends an annual conference hosted by the American medical association at which type of event is she most likely to hear a speech given by a world