Question

The perimeter of a rectangle is 280 cm. The ratio of the width to the length is 3 : 4. What is the length of the rectangle?

Answer 1

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The perimeter of a rectangle is 280 cm. The ratio of the width to the length is 3 : 4. What is the length of the rectangle?

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Perimeter of rectangle → 2 ( length+breadth)

$\frac{ A }{ Q }$

Let,length and breath be y

$\bf \large\underline{Then, }$

length → 3y

breadth → 4y

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perimeter of rectangle → 2(3y+4y)

280 = 2 x 7y

14y = 280

y = $\frac{ 280 }{ 14 }$

y= 20

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put ,value..

length → 3y =20 x 3= 60 cm..

${\huge{\pink{\underline{\underline{Hence♪}}}}}$

Length= 60 cm..

Answer 2

Answer- here ya go mate,

Perimeter of the rectangle = 280cm

length = ? lets consider it as 4x

breadth = ? let's consider it as 3x

formula of perimeter - 2(l + b)

= 2 ( 4x + 3x )

280 = 2 (4x + 3x)

280 = 2 x 7x

280 / 2 = 7x

140 = 7x

140 / 7 = x

20 = x

length = 4x = 4 x 20 = 80cm

breadth = 3x = 3 x 20 = 60 cm

have a great day buddy!!! : )