Question

The length of a rectangular plot exceeds its breadth by 5m. If the perimeter of the plot is 142m, find the dimensions of the plot

Answer 1

Let's assume the breadth as x meters

So, the length as (x + 5) meters

According to Question,

Perimeter of Rectangular plot = 142m

2(length + breadth) = 142 m

⇒ 2(x + 5 + x) = 142

⇒ 2x + 5 = 142 / 2

⇒ 2x + 5 = 71

⇒ 2x = 71 - 5

⇒ 2x = 66

⇒ x = 66 / 2

⇒ x = 33

Required Measurements -

Breadth = x = 33 m

Length = x + 5 = 33 + 5 = 38 m

Hence, the length and breadth of the rectangular plot are 38 meters and 33 meters respectively

✪ Be Brainly ✪

Answer 2

Answer:

The dimensions are 33m and 38m.

Step-by-step explanation:

As per the given data:

We have to find the dimensions of plot,

Given that:-

The perimeter of the rectangular plot is $142m$,

Let's, assume that the breadth be $x$ metres.

As a result, the length is ($x+5$) metres.

As we know that,

The perimeter of rectangle = $2(l+b)$

=> $2$ (length $+$ breadth) = $142$m

=> $2(x+5+x)=142$

Simplifying it further, we get

$=> 2(2x+5)=142$

Divide the numbers:

$=>(2x+5)=71$

Now, subtracting the numbers:

$=>2x = 71 - 5$

$=>2x=66$

Divide $2$ on both sides:

=> $x=33$

Hence, the dimensions are:

Length $=(x+5)$

           $=33+5$

           $=38m$

Breadth $=x=33m$