Question

The length and breadth of a rectangle are in the ratio 5:3 . If the perimeter is 640 c.m. find the area.

Answer 1

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Answer 2

★ Answer :

24000 sq.cm is the area kf the RECTANGLE.

★ Explaination:

★ Given :

• Ratio = 5 : 3

• PERIMETER = 640 cm

★ To find :

The area of the RECTANGLE

★ Solution :

•Consider the length as 5x

•Consider the Breadth as 3x

$Perimeter \: of \: rectangle = 2(l \: + b \: )$


$= > 640 = 2(5x + 3x)$


$= > 640 = 10x + 6x$


$= > 640 = 16x$


$= > 16x = 640$


$= > x = \frac{640}{16}$


$= > x = 40$

$\large{\green{\boxed{\green{\boxed{\red{\textsf{x = 40 }}}}}}}$

Length = 5x

$= > 5 \times 40$


$= >200$

$\large{\green{\boxed{\green{\boxed{\red{\textsf{Length = 200 cm }}}}}}}$

Breadth = 3x

$= > 3 \times 40$
$= > 120$

$\large{\green{\boxed{\green{\boxed{\red{\textsf{Breadth = 120 cm }}}}}}}$

$\textbf{\large{AREA}}$

Area of rectangle = L × B

$= > 120 \times 200$
$= > 24000$
$\large{\green{\boxed{\green{\boxed{\red{\textsf{Area = 24000 sq.cm}}}}}}}$

$\therefore$The area of the rectangle is 24000 sq.cm