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  • 06-05-2021
  • Mathematics
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The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm
(i) Find its length and breadth (ii) Find its perimeter

Respuesta :

Muscardinus Muscardinus
  • 11-05-2021

Answer:

Length = 15 cm, width = 12 cm, Perimeter = 54 cm

Step-by-step explanation:

The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm².

Length = 5x

Breadth = 4x

Area of rectagle,

A = bl

180 = 5x × 4x

180 = 20x²

x² = 9

x = 3

Length = 5x = 5(3) = 15 cm

Width = 4x = 4(3) = 12 cm

Perimeter of rectangel,

P = 2(l+b)

= 2(15+12)

= 54 cm

Hence, this is the required solution.

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