Question

the lenght of a rectaangle is 7m more than its breath. if its perimeter is 50m, find lenght and breath of a rectangle.

Answer 1

Given :

• The perimeter of a rectangle is 50 m.
• The lenght of a rectaangle is 7m more than its breath.

To find :

• The dimensions of the rectangle =?

Formula Used :

• Perimeter of the rectangle = 2(length + breadth)

Step-by-step explanation :

Let, the length of the rectangle be, x

Then, the breadth of the rectangle be, x + 7

As We know that,

Perimeter of the rectangle = 2(length + breadth)

Substituting the values in the above formula, we get,

50 = 2[x + (x + 7)]

50 = 2(2x + 7)

50 = 4x + 14

4x + 14 = 50

4x = 50 - 14

4x = 36

x = 36/4

x = 9

Therefore, We got the value of, x = 9.

Hence, the breadth of the rectangle, x = 9 m.

The length of the rectangle, x + 7 = 9 + 7 = 16 m

Answer 2

$\sf{\underline{\red{\underline{Question:-}}}}$

the lenght of a rectangle is 7m more than its breath. if its perimeter is 50m, find lenght and breath of a rectangle.

$\sf{\underline{\red{\underline{Given:-}}}}$

• Perimeter of rectangle =50m
• Length is 7m more than its breadth

$\sf{\underline{\red{\underline{To\: find:-}}}}$

• Dimensions of the rectangle=?

$\sf{\underline{\red{\underline{Formula:-}}}}$

• Perimeter of rectangle = 2(L+b)

$\sf{\underline{\red{\underline{solution:-}}}}$

• Let Length of rectangle = x
• And. Breadth of rectangle is 7m more than its length = x+7

$\sf{\underline{\red{\underline{Now:-}}}}$

Using formula of perimeter of rectangle = 2(l+b)

$\sf→50= 2[x+(x+7)]\\\sf→50= 2(2x+7)\\\sf→50=4x+14\\\sf→4x= 50-14\\\sf→4x=36\\\sf→x=\frac{36}{4}\\\sf→{\fbox{\underline{\red{x=9}}}}$

$\sf{\underline{\red{\underline{Hence:-}}}}$

• Length of rectangle = x=9m
• Breadth of rectangle = x+7 = 9+7 = 15m