strawberryspirit strawberryspirit
  • 16-11-2020
  • Mathematics
contestada

The breadth of a rectangle is 1/3 of its length. If the area of the rectangle is 48 cm. Find the length and breadth.

Respuesta :

devishri1977
devishri1977 devishri1977
  • 16-11-2020

Answer:

length = 12 cm

Breadth = 4 cm

Step-by-step explanation:

Let length = l

breadth = [tex]\frac{1}{3}l[/tex]

Area of rectangle = 48 sq.cm

length * breadth = 48

[tex]l * \frac{1}{3}l = 48\\[/tex]

  [tex]\frac{1}{3}l^{2}=48\\\\[/tex]

    [tex]l^{2}=48*3\\\\l^{2}=144\\\\ l = \sqrt{144}\\\\[/tex]

   l = 12 cm

breadth =   [tex]\frac{1}{3}l = \frac{1}{3}*12 = 4 cm[/tex]

length = 12 cm

Breadth = 4 cm

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