the length of a rectangular field exceeds it's breadth by 8metres . if the perimeter of the field is 80metres find the length of the field
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Given:
The length of a rectangular field exceeds it's breadth by 8 metres.
The perimeter of the field is 80 metres.
To find:
The length of the field.
Solution:
Let, the breadth of the rectangle be, 'b'.
∴ Length = (b+8)
Perimeter = 80 metres.
From the formula we get that,
Perimeter = 2(Length + Breadth)
∴ According to the problem:
80 = 2{b+(b+8)}
⇒ (80÷2) = 2b+8
⇒ 40 = 2b+8
⇒ 2b+8 = 40
⇒ 2b = (40-8)
⇒ 2b = 32
⇒ b = (32÷2)
⇒ b = 16 metres.
Hence, the breadth of the rectangle is 16 metres.
∴ The length of the rectangle is (16+8) metres
= 24 metres.
∴ The length of the rectangle is 24 metres.
Answer:
The length of the rectangle is 24 metres.
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