Question

The length of rectangular plot exceeds its breadth by 5m and its perimeter is 50m. find the dimension of plot?

Answer 1

Solutions :-

We have,

Perimeter of rectangular plot = 50m

Let the breadth be x

So, Length = x + 5m

We know,

Perimeter of rectangle = 2(Length + breadth)

A/q

=> 2 ( x + 5 + x) = 50

=> 2x + 10 + 2x = 50

=> 4x = 50 - 10

=> x = 40/4 = 10

Length = x + 5m = (10 + 5)m = 15 m

Breadth = x = 10 m

Hence,

The dimension of rectangular plot is 15m by 10m.

Answer 2

Greetings..!!

Let the breadth be x meters .

Then length = Breadth + 5 = (x+5) meter

Using formula for perimeter of rectangle ,

⇒50 = 2(length+breadth) units

⇒50 = 2(x+x+5)

⇒50 = 2(2x + 5)

⇒50 = 4x + 10

⇒50-10 = 4x

⇒40/4 = x

⇒10=x

So, breath is x = 10 meters

So, length = breadth + 5 = 10+5 = 15 meters

Answer : Hence, dimensions of the plot are 15 meters by 10 meters(length = 15 meters and breadth = 10 meters )