Question

The difference between length and breadth of a rectangle is 7cm. The perimeter of
the rectangle is 50cm. Find the length and breadth of the rectangle.
​

Answer 1

Answer:

l=16 cm

B=9cm

Step-by-step explanation:

Let the length=x

Breadth=x-7

A/Q

perimeter of rectangle =50cm

2(l+b)=50 cm

2(x+x-7) =50 cm

2(2x-7) =50 cm

2x-7=50/2

2x=25+7

x=32/2

x=16

length of rectangle =16 cm

Breath of rectangle =16-7 =9cm

Answer 2

Answer:

The difference between the length and breadth of a rectangle is 7cm. The perimeter of  the rectangle is 50cm, the length, and breadth of the rectangle are 16cm and 9cm respectively

Step-by-step explanation:

• A rectangle is a polygon with four sides

• The perimeter of a rectangle is the total linear distance along the boundary, if the length is (l) and breadth is (b) the perimeter is given by the formula

       $P=2(l+b)$ equation 1

From the question, it is given that

let the length be (l) and breadth be (b)

the difference between the length and breadth is $l-b=7$

⇒$l=7+b$

the perimeter of the rectangle $P=50cm$

now put the values in equation1

⇒$50=2(b+b+7)=4b+14$

⇒

$36=4b\\b=36/4=9cm$

therefore the length is $l=9+7=16cm$