Question

find the length of a rectangular plot exceeds its breadth by 5 metre. if perimeter of the plot is 142 metres find the length and breadth of the plot.

Answer 1

Answer:-

Breadth of the plot = 33 metres

Length of the plot = 38 metres

Step-by-step explanation-

Given-

• The length of a rectangular plot exceeds its breadth by 5 metre.

• Perimeter of the plot is 142 metres.

To find-

• Dimensions of the plot ( length and breadth)

How to solve?

As we have given that the length is 5 more than breadth so at first we will take breadth as x then the length will become ( x + 5 ), by the formula of perimeter of rectangle we'll set the equation and will the value of x which is breadth after finding breadth we'll add it to 5 to get the value of length.

Let's solve !

Solution-

Let the breadth of the plot be $\sf\green {x}$ metres.

Then, the length = $\sf\red {( x + 5) metres}$

And we know,

$\sf\red { Perimeter = 2( length + breadth) }$

Given, perimeter = 142 metres

$\sf\blue { 142 m= 2 ( x + 5 + x ) metres }$

$\sf\blue { 142 m = 2( 2x + 5 ) metres }$

$\sf\blue { 142 m= (4x + 10) metres}$

$\sf\green { 4x = 142 - 10 = 132 m }$

$\sf\green { x = \frac {132}{4}}$

$\sf\red { x = 33 m }$

Value of x is 33 m.

____..

Thus , breadth = 33 metres,

Thus , breadth = 33 metres, Length = ( x + 5 ) = ( 33 + 5 ) = 38 metres ans..

Answer 2

Given: Length of the plot exceeds it’s breadth by 5 metre. Perimeter is 142 metres.

To Find: Length and breadth of the plot.

We know,

Perimeter of Rectangle = 2(Length + Breadth)

Let the breadth of the plot be = (N) metres

∴ Length becomes = (N + 5) metres

According to the Question:-

2[(N) + (N + 5)] = 142

→ 2(N + N + 5) = 142

→ 2(2N + 5) = 142

→ 4N + 10 = 142

→ 4N = 142 - 10 = 132

→ N = 132/4

→ N = 33

∴ Length = (N + 5) m = (33 + 5) m = 38 m

Breadth = N m = 33 m