the length of a rectangular field is 25 metre more than its breadth if the perimeter of the field is 650m,find its length and breadth
Answers
Answer:
length = 175
breadth = 150
Step-by-step explanation:
let length of rectangular field be x.
and breadth of rectangular field be y
According to question,
x = 25 + y
Perimeter of the rectangular field = 2 (l + b)
650 = 2 (x + y)
= 2 (25 + y + y)
= 2 × (25 + 2y)
650 = 50 + 4y
650 - 50 = 4y
therefore,
4y = 600
y = 150
so,
length = x = 25 + y = 175
breadth = y = 150
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breadth of rectangular field =x. length of rectangular field= x + 25
A.T.Q.
perimeter of field =650
2(l+b)= 650
2(x+x+25)=650
2(2x+25)=650
4x+50=650
4x=650-50
x=600/4
x=150
breadth = 150
lenght =150+25
175