Question

A square ND a rectangular plot of land have same perimeter mIf the square is of side 40 m and retengle is of 5dam. and the areas of the two plot. ​

Answer 1

Answer:

$\huge \boxed{Formulae :-}$

$\huge \mathcal \pink {The \:rectangle }$

➥Area = length *breath = l*b

$daigonal \: = \: \sqrt{ {l}^{2} \times + {b}^{2} }$

$\huge \mathcal \pink {The\: square }$

➥Area = (side )^2 = a^2

$diagonal \: = \sqrt{ {a}^{2} + {a}^{2} } = \sqrt{ {2a}^{2} } = \sqrt{2 \times area}$

$\huge\underline\mathfrak\green {SOLUTION:}$

❥Let the breadth of rectangular plot = b m

and length l = 5 dam

⠀⠀⠀⠀⠀⠀= 50 m (1 dam = 10m)

We are given,

⠀⠀ perimeter of rectangle = perimeter of square

➵2 (50 +b) = 4*40 ( perimeter of square =4*side )

➵50+b = 160/2 = 80

➵b= 80-50 =30 m

Now,

Area of rectangle = l*b

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 50*90 =1500 m^2

Area of a square =side ^2 =40^2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 1600 m^2

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$\Large\frak{\underline{\underline{Muskan :}}}$

Answer 2

Answer:

❥Let the breadth of rectangular plot = b m

and length l = 5 dam

⠀⠀⠀⠀⠀⠀= 50 m (1 dam = 10m)

We are given,

⠀⠀ perimeter of rectangle = perimeter of square

➵2 (50 +b) = 4*40 ( perimeter of square =4*side )

➵50+b = 160/2 = 80

➵b= 80-50 =30 m

Now,

Area of rectangle = l*b

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 50*90 =1500 m^2

Area of a square =side ^2 =40^2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 1600 m^2