Question

If the ratio of the length to the breadth of a rectangle be 5:3 and its perimeter is 144m,find the length of the rectangle

Answer 1

$\large \huge{ \mathfrak{HELLO \: FRIENDS!!}}$



$\large{ \mathfrak{Here \: is \: your \: answer↓}}$


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▶ Let the ratio be ‘x’.

➡ Length = 5x.

➡ Breadth = 3x.



$\huge \bf \sf{It \: is \: given \: that:-)}$


=> Perimeter of rectangle = 144m.



Now,


$\boxed{Perimeter \: of \: rectangle = 2 ( length + breadth ).}$

$\bf{=> 144 = 2 ( 5x + 3x ).}$


$\bf{=> 144 = 2 × 8x.}$


$\bf{=> 144 = 16x.}$


$\bf{=> x = \frac{144}{16} .}$


$\huge \boxed{=> x = 9m.}$


$\huge \boxed{Length = 5x = 5 × 9 = 45m.}$



✅✅ Hence, length is founded ✔✔.




$\huge \boxed{THANKS}$



$\huge \bf \underline{Hope \: it \: is \: helpful \: for \: you}$

Answer 2

Hiii.... friend

Let's see the answer
__________________

Let the ratio if 'x'

Then length = 5x
And breadth = 3x


In question given that

Perimeter of rectangle = 144m

Formula of find perimeter

= 2× (length+ breadth)= 144m

=> 2×(5x+3x)= 144m

=> 2×8x= 144

=> 8x= 144/2= 72

=> x= 72/8=9


Length of rectangle= 5x= 5×9=45m

Be brainly.......☺️

@Soma❤️