the breadth of a rectangular garden is 1/4 of it’s length. if it’s perimeter is 30 m find its dimensions​

2 thoughts on “the breadth of a rectangular garden is 1/4 of it’s length. if it’s perimeter is 30 m find its dimensions​”

1. Answer:

   • Length and Breadth of the rectangular garden are 12 m and 3 m respectively.

   Step-by-step explanation:

   Given that:

   • The breadth of a rectangular garden is 1/4 of its length.
   • The perimeter of the garden is 30 m.

   To Find:

   • The dimensions of the garden.

   Solution:

   Let us assume:

   • The length of the rectangular garden be 4x.

   Then,

   • The breadth of the rectangular garden will be x.

   As we know that:

   Perimeter of a rectangle = 2(length + breadth) units

   Substituting the values,

   [tex]\sf{Perimeter=2(4x+x)}[/tex]

   [tex]\sf{=2\times5x}[/tex]

   [tex]\sf{=10x}[/tex]

   Hence,

   • Perimeter of the rectangular garden = 10x

   But,

   • Perimeter of the rectangular garden = 30 m (given)

   Therefore,

   [tex]\sf{\longmapsto10x=30\;m}[/tex]

   Transposing 10 from LHS to RHS and changing its sign,

   [tex]\sf{\longmapsto x=\dfrac{30\;m}{10}}[/tex]

   Cutting off the zeros,

   [tex]\sf{\longmapsto x=\dfrac{3\!\!\!\not{0}\;m}{1\!\!\!\not{0}}}[/tex]

   [tex]\bf{\longmapsto x=3\;m}[/tex]

   Hence,

   • Value of x = 3 m

   Therefore,

   • Length of the rectangular garden = 4x = (4 × 3) m = 12 m
   • Breadth of the rectangular garden = x = 3 m

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2. Answer:

   12 and 3

   Step-by-step explanation:

   L=x

   B=x/4

   Perimeter=30m

   2(L+B)

   2(5x/4)

   5x/2=30

   5x=60

   x=12

   x/4=3

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