Question

the length of a rectangle is 3 metres more than its breadth . the perimeter of a rectangle is 46 metres .find the length and breadth of the rectangle
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Answer 1

Step-by-step explanation:

Let The breadth of the rectangle is x m

So then length of rectangle is x+3 m

Then Perimeter of Rectangle=46cm

Then Perimeter=2 (l×b)

Then 46 = 2(2x+3)

46 = 4x +6

40=4x

Then x=10

Then Length of Rectangle is 13cm

Also Breadth of Rectangle is 10cm...........

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Answer 2

Answer:

$\large\bold\red{Length=13\:m,\: Breadth= 10\: m}$

Step-by-step explanation:

Let

• Length = l
• Breadth = b
• Perimeter = p

Now,

It's given that,

Length is 3 m more than it's breadth.

Therefore,

We get,

$= > l = b + 3 \: \: \: .......(1)$

Also,

• p = 46 m

But,

We know that,

• p = 2(l+b)

Therefore,

We get,

$= > 2(l + b) = 46 \\ \\ = > 2(b + 3 + b) = 46 \\ \\ = > 2b + 3 = \frac{46}{2} \\ \\ = > 2b + 3 = 23 \\ \\ = > 2b = 23 - 3 \\ \\ = > b = \frac{20}{2} \\ \\ = > b = 10 \: m$

Therefore,

We get,

$= > l = 10 + 3 \\ \\ = > l = 13 \: m$