Question

the perimeter of a rectangle is 25 meters and one if its side is 5 meters.how many meters is the other side?

Answer 1

Answer : 7.5 metres

Explanation :

Let's assume the other side to be 'x' metres.

Given that :

Perimeter of rectangle = 25 metres

One side = 5 metres

We know that,

Perimeter of rectangle = 2 [ Length + Breadth ]

25 = 2 × [ 5 + x ]

25/2 = 5 + x

12.5 = 5 + x

7.5 = x

Thus,

We get » x = 7.5 metres

Let's verify our final answer.

Verification :

Putting the value of x,

25 = 2 × [ 5 + 7.5 ]

25 = 2 × 12.5

25 = 25

Therefore, Other side of the rectangle is 7.5 metres.

Answer 2

Answer :-

Given :-

Perimeter of rectangle = 25 m ;

One side is 5 m.

To Find :-

The other side.

Solution :-

$\sf{Let\ the\ other\ side\ be\ x}$

$\sf{\star{We\ know\ that\ :-}}$

$\boxed{\sf{Perimeter\ of\ Rectangle\ = 2 (L + B)}}$

$\implies{\sf{25 = 2 (x + 5)}}$

$\implies{\sf{25 = 2x + 10}}$

$\implies{\sf{25 - 10 = 2x}}$

$\implies{\sf{15 = 2x}}$

$\implies{\sf{x = \dfrac{15}{2}}}$

$\implies{\sf{x = 7.5}}$

Verification :-

$\implies{\sf{25 = 2 (7.5 + 5)}}$

$\implies{\sf{25 = 15 + 10}}$

$\implies{\sf{25 = 25}}$

Hence, Verified !!

So, the other side is :- $\boxed{\sf{7.5 m}}$