Question

The length of a rectangle is 10m more than its breath if the pari meter of rectangle is 80m find the length and breath of the rectangle respectively. 25m;15m. 20m; 30m. 15m ; 25m ; 5m; 15m.

Answer 1

Given :

• The length of a rectangle is 10m more than its breath.
• The perimeter of a rectangle is 80 m.

To find :

• The length and breath of the rectangle =?

Formula Used :

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

Step-by-step explanation :

Let, the breadth of the rectangle be, x.

Then, the length of the rectangle be, x + 10.

As it is given that,

The perimeter of a rectangle is 80 m.

Now,

As We know that,

Perimeter of the rectangle = 2(length + breadth)

Substituting the values in the above formula, we get,

80 = 2[x + (x + 10)]

80 = 2[2x + 10]

80 = 4x + 20

4x = 80 - 20

4x = 60

x = 60/4

x = 15.

Therefore, We got the value of, x = 15 m.

Hence,

The breadth of the rectangle, x = 15 m.

Then, the length of the rectangle, x + 10 = 15 + 10 = 25 m.

Answer 2

Answer:

The length and breadth of the rectangle are : 25 m and 15 m respectively.

Given :

➛The length of a rectangle is 10m more

than its breath.

➛The perimeter of a rectangle is 80 m.

To Find :

The length and breath of the rectangle

Solution:

We are given,

➛The length of a rectangle is 10m more

than its breath.

➛The perimeter of a rectangle is 80 m.

Let, the breadth of the rectangle be, m.

Then, According to given condition

The length of the rectangle be, m + 10.

The perimeter of a rectangle is 80 m. ( given)

We know that,

Perimeter of the rectangle = 2(length + breadth)

➾80 = 2 { m + (m + 10)}

➾80 = 2 { 2m + 10 }

➾80 = 4m + 20

➾4m = 80 - 20

➾4m = 60

➾m = 60/4

➾m = 15.

Hence,

The breadth of the rectangle, m = 15 m.

Therefore, the length of the rectangle, x + 10 = 15 + 10 = 25 m.

Hence,

The length and breadth of the rectangle are 25 m and 15 m respectively.

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Formula Used :

Perimeter of the rectangle = 2(length + breadth)