When 5 is subtracted from length and breadth of the rectangle, the perimeter becomes 26.' What is the mathematical form of the statement? *
Answers
Answer:
23
Step-by-step explanation:
When 5 is subtracted from the length and breadth of the rectangle, the perimeter becomes 26, what is the mathematical form of the statement?
perimiter ( p ) =2× length ( l ) +2× breadth ( b )
or,
p=2l+2b
We can substitute the values from the statement into this formula to obtain a mathematical expression for the statement.
26=2(l−5)+2(b−5)
As there are two unknowns in this equation, there is no way to solve it for the original length and breadth, but we can rearrange it so that one of terms is the subject:
2(l−5)+2(b−5)=26
2(l−5)=26−2(b−5)
l−5=26−2(b−5)2
l−5=13−b+5
l−5=18−b
l=18−b+5
l=23−b
We now have an equation which we can use to easily find length if we later know the origin
Let length of the rectangle be ‘x’
And let its breadth be ‘y’
Perimeter of rectangle =2(length+breadth)
As per given condition 5 is substracted from length as well as breadth and its perimeter becomes 26
Hence,
Length=(x-5)
And breadth = (y-5)
Perimeter of rectangle =2 (length +breadth)
26 = 2( (x-5)+(y-5))
26=2 (x-5+y-5)
26=2 (x+y-10)
26=2x+2y-20
26+20=2 (x+y)
46÷2=x + y
23=x+y
Answer:
23
Step-by-step explanation:
Length = 5
Breadth = 5
perimeter = 26
or 2(5+5) =26
° 2(L+B-10) =26
= L+B-10 =13
= L+B =23