The length of a rectangle exceeds it's breadth by 6 meter if it's perimeter is 64 meter then find its length and breadth
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Let x meter be the breadth of rectangle.
Then, length of rectangle = (x + 6) meter
∴Perimeter = 2 (Length + Breadth)
= 2 {x + (x + 6)}
= 2 (2x + 6) meter
According to question,
2(2x + 6) = 64
⇒ 2x + 6 =
⇒ 2x + 6 = 32
⇒ 2x = 32 – 6
⇒ 2x = 26
⇒
⇒ x = 13
Hence, the breadth of rectangle = 13 meter length of rectangle = (13 + 6) meter = 19 meter
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