Question

Please answer this question please please

Answer 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 -

$\pink{width = x = 16 m}$

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

Answer 2

$\huge\underline\mathrm{Question:-}$

• 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.