Question

5.If 15 is subtracted from the length and breadth of a rectangle, the perimeter becomes 60. The mathematical form of the statement is written as​

Answer 1

Answer:-

• The required mathematical form is 2(2x-30)=60.

Step-by-step explanation:

To Find:-

• The mathematical form of If, 15 is subtracted from the length and breadth of a rectangle, the perimeter becomes 60

Solution:

Assumption: Let us assume the length as "x" and the breadth as "x"

Given that :-

• 15 is subtracted from both length and breadth of rectangle and the perimeter becomes 60.

According the question,

• Length = ( x - 15 )
• Breadth = ( x - 15 )

As we know that,

Perimeter of rectangle = 2 ( l + b ),

Where,

• l = Length
• b = Breadth

Therefore, Also given,

• 2 { (x-15) + (x-15) } = 60

=> 2 { (x-15) + (x-15) } = 60

=> 2 ( x - 15 + x - 15 ) = 60

=> 2 ( 2x - 15 - 15 ) = 60

=> 2 ( 2x - 30 ) = 60

Required Answer :-

• The mathematical form of, If 15 is subtracted from the length and breadth of a rectangle, the perimeter becomes 60 is 2(2x-30)=60.