A distance around a rectangular field is 400 meters. The length of the field is 26 meters more than the breath. Calculate the length and breadth of the field?
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Q. 83.9( 26 Votes )
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Class 8thAP - Mathematics2. Linear Equations in One Variable
Answer
Let the breadth (b) of the rectangular field be x meters.
The length of the field is 26 meters more than the breadth.
∴ The length of the rectangular field = l = (x + 26) meters.
The distance around the field = 400 meters.
The distance around the field = Perimeter of the field Perimeter of rectangle = 2 (l + b)
According to the given condition,
2 (x + 26 + x) = 400
⇒ 2 (2x + 26) = 400
⇒ 4x + 52 = 400 (Removing bracket)
⇒ 4x = 400 – 52 (Transposing 52 to RHS)
4x = 348
⇒ x =
348÷4
(Transposing 4 to RHS)
x = 87
The breadth of the field = x = 87 meters.
The length of the field = x + 26 = 87 + 26 = 113 meters.
∴ The length and breadth of the rectangular field is 113 meters and 87 meters respectively.