Question

the length of a rectangle is 6 times its breadth. The perimeter of the rectangle is 294cm. find the length and breadth of the rectangle

Answer 1

Let length be l,
and let the Breadth be b,

From the question ,
l = 6b,

In general the perimeter of a rectangle whose length is l and breadth is b is , 2(l+b),

Given that, Perimeter = 294cm,

We can write perimeter as 2(6b+b)
=> 2(7b) = 294cm,
=> 14b = 294cm, Divide each side by 14,
=> b = 21cm,
From this the length = 6*21 = 126cm,

So therefore the length = 126cm and the breadth = 21cm,

Hope you understand, Have a great day !!

Answer 2

Let the length of the rectangle be x.
∴ Breadth of the rectangle = 6x

BT.P.,
Perimeter of the rectangle = 2(l+b)
                            294        = 2(6x+x)
                            294        = 2*7x
                            294        = 14x
                            294/14   = x
                            21          = x
                             x           = 21

∴ Breadth = x = 21 cm 
   Length = 6x = 6*21 = 126 cm

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