Math, asked by amarpriya3006, 8 months ago

Please answer this question please please

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Answered by EuphoricEpitome
1

Answer:

»Question -

Half the perimeter of a rectangular garden,whose length is 4 m more than its width is 36m. Find the dimensions of garden.

» Given:

•length is 4 m more than width

• Half the perimeter = 36

» Solution

take the width as x.

then,

the length becomes - (x+4)

half the perimeter = 36

therefore, perimeter =

36×2

= 72 m

» We know that,

{\pink{\boxed{Perimeter\:of\: rectangle= 2(l+b)}}}

»by putting values

72 = 2{(x+4)+(x)}

72 = 2{x+4+x}

72 = 2(2x+4)

72 = 4x+8

4x = 72-8

4x= 64

x = 64/4

{\blue{\boxed{x = 16}}}

»Answer -

\pink{width = x = 16 m}

\blue{length = x+4 = 16+4 = 20 m}

Answered by ItzDαrkHσrsє
9

\huge\underline\mathrm{Question:-}

  • To find the dimensions of the garden.

\huge\underline\mathrm{Given:-}

  • Length is 4m more than it's width.
  • Half of perimeter = 36m.

\huge\underline\mathrm{Solution:-}

  • Taking width as x
  • Then! Length is 4m more than it's width. So, Length becomes -
  • (x + 4)
  • Half of perimeter = 36
  • Perimeter =
  • 36 \times 2 = 72

Perimeter of Rectangle =

\huge{\fbox{\fbox{\bigstar{\mathfrak{\purple{2(l + b)}}}}}}

Width of garden - (x)

  • 72 = 2(x + 4) + (x)
  • 72 = 2(x + 4 + x)
  • 72 = 2(2x + 4)
  • 72 = 4x + 8
  • 4x = 72 - 8
  • 4x = 64
  • x =  \frac{64}{4}
  • x = 16

Length of garden ( x + 4 )

  • length = (x + 4)
  • 16 + 4
  • 20

\huge\underline\mathrm{Answer:-}

  • Width of Garden is 16m.
  • Length of garden is 20m.

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