The length of a rectangular field is twice its breadth. if its perimeter is 240 metre, find the length and breadth of the field. given area of rectangle = 2 × length + breath
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Answer:-
Let the Breadth of the field be x m.
Given:
Length is twice the breadth.
→ length of the field = 2 * x = 2x m.
And,
Perimeter of the field = 240 m.
We know that,
Perimeter of a rectangle = 2 (length + breadth)
Hence,
→ 240 = 2 (2x + x)
→ 240 = 2 (3x)
→ 240 = 5x
→ 240/5 = x
→ 48 = x
→ Breadth (x) = 48 m
→ Length = 2x = 2*48 = 96 m.
Therefore, the dimensions of the field are 96 m , 48 m.
Information related to a rectangle:-
- Perimeter of a rectangle = 2 (length + breadth )
- Area of a rectangle = length * breadth.
- Opposite sides of a rectangle are equal and parallel.
- Each angle of a rectangle is equal to 90°.
- Sum of all the four angles of a rectangle (Quadrilateral) = 360°.
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