Question

If the ratio of the lenth to the breadth of a rectangle be5:3 and it's perimeter is 144 m, find the length of the rectangle

Answer 1

$\huge{\mathcal{Hi\: there!}}$

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Let the length and breadth of rectangle be 5x and 3x respectively.

Now,

Perimeter of rectangle = 144 m [ Given ]

⇒ 2 ( l + b ) = 144

⇒ 2 ( 5x + 3x ) = 144

⇒ 2 ( 8x ) = 144

⇒ 16x = 144

⇒ x = $\mathsf{ \frac{144}{16}}$

⇒ x = 9

Now, putting the value of x, we get ;

Length of the rectangle

= 5x
= 5 × 9
= 45 m

Breadth of the rectangle

= 3x
= 3 × 9
= 27 m.

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Thanks for the question !

☺️❤️☺️

Answer 2

$\huge{\mathcal{\pink{\bold{Hey \: Dude! }}}}$

_______________________

Let the length and breadth of the rectangle be 5x and 3x respectively.

Now,

Perimeter of rectangle = 144 m.

◾2 ( l + b ) = 144

◾ 2 ( 5x + 3x ) = 144

◾ 8x = 144 / 2

◾ 8x = 72

◾ x = 72 / 8

◾ x = 9

Now,

Length of rectangle = 5 × 9 = 45 m.

Breadth of the rectangle = 3 × 9 = 27 m.

_______________________

Thanks !!

@Aaisha44 ❤️