The length of a rectangular field is 10m longer than its breadth and its perimeter is 140m. Find the length and the breadth of the field.
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Answers
Answered by
200
Answer:
L = 40 m & B = 30 m
Step By Step Explanation:
Let breadth (b) of rectangular field be
x m.
Then, length (l) of the field = (x + 10) m.
Now,
Perimeter of the field = 140 m
⇒ 2 (l + b) = 140 m
⇒ 2 (x + 10 + x) = 140 m
⇒ 2 (2x + 10) = 140 m
⇒ 4x + 20 = 140 m
⇒ 4x = (140 - 20) m
⇒ x = 120 / 4 m
⇒ x = 30 m
Therefore:
Breadth of field (b) = x m = 30 m
Length of field (l) = (x + 10) m = 40 m.
Hence, The length and the breadth of the field are 40 m and 30 m respectively.
L = 40 m & B = 30 m
Step By Step Explanation:
Let breadth (b) of rectangular field be
x m.
Then, length (l) of the field = (x + 10) m.
Now,
Perimeter of the field = 140 m
⇒ 2 (l + b) = 140 m
⇒ 2 (x + 10 + x) = 140 m
⇒ 2 (2x + 10) = 140 m
⇒ 4x + 20 = 140 m
⇒ 4x = (140 - 20) m
⇒ x = 120 / 4 m
⇒ x = 30 m
Therefore:
Breadth of field (b) = x m = 30 m
Length of field (l) = (x + 10) m = 40 m.
Hence, The length and the breadth of the field are 40 m and 30 m respectively.
Answered by
6
=140/2 =70
length = 2× breadth +10
length=40 m
breadth = 30 m
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