Question

Length of a rectangle exceeds its breadth by 4 m if the perimeter of the rectangle is 84 m find its length and breadth

Answer 1

given. l=b+4
and perimeter = 2(l+b)
therefore
84=2(b+4+b)
84/2=2b+4
42=2(b+2)
21=b+2
21-2=b
19=b

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Answer 2

let the length be x and breadth be length exceeds the breadth by 4m.
so, x-y=4 — 1 equation
perimeter is 84m.
2(x+y) = 84
x+y = 42. — equation 2
from equation 1
x= 4+y
putting the value of y in 2 equation
4+y + y= 42
2y= 38
y= 19
now put the value of y in 1 equation
x-y=4
x- 19= 4
x = 4+19= 23
and its done!!