Question

the perimeter of a rectangle is 26 breadth is 5 cm . it's length is

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Answer 1

Answer:

the length of the rectangle=8 cm

Step-by-step explanation:

perimeter of rectangle = 2(l+b)

26=2(l+5)

26/2=l+5

13-5=l

L=8

Therefore

Answer 2

Step-by-step explanation:

Hint:

We will use the formula of perimeter of the rectangle: 2(l+b) , where l is the length of the rectangle and b is the breadth of the rectangle. We will write the length of the rectangle in terms of the breadth of the rectangle and then put their value in the formula of the perimeter.

Complete step by step solution:

We are given the perimeter of the rectangle as 26cm.

It is also stated that the length of the rectangle is 3cm more than the breadth of the rectangle.

Let ABCD be the rectangle and its breadth BC be x cm. Therefore, the length of the rectangle of the rectangle will be AB=x+3 cm.

Putting the value of the length and the breadth of the rectangle in the formula of the perimeter of the rectangle = 2(l+b), where l is the length and b is the breadth of the rectangle, we get

⇒ Perimeter of ABCD = 2(l+b)

⇒ Perimeter of ABCD =2[(x+3)+x]

⇒ Perimeter of ABCD =2[2x+3]

⇒ Perimeter of ABCD =4x+6

Putting the given value of the perimeter of ABCD, we get

⇒ Perimeter of ABCD = 26 =4x+6

⇒4x=32⇒x=324=8

Therefore, the breadth of the rectangle is x = 8cm.

Hence, the length of the rectangle is x + 3 = 11cm.

So, the dimensions of the rectangle are (8×11)cm.