The length of a rectangular field is thrice its breadth. If the perimeter is 40 meters, then find the area of the field.
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Answered by
3
Answer:
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» Let the Breadth of rectangular field be x meters.
• G i v e n t h a t :
The Length of a rectangular field is thrice it's Breadth..
⇢ Length = 3 × Breadth
⇢ Length= 3x
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☆ P e r i m e t e r :
» Perimeter = 2(Length + Breadth)
➟ 40 = 2(3x + x)
➟ 40 = 2(4x)
➟ 40 = 8x
➟ x = ⁴⁰⁄₈
➟ x = 5
Breadth of rectangular field, x = 5 m
Length of rectangular field, 3x = 3(5) = 15 m
∴ Dimensions of the field are 5 meters & 15 meters respectively.
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☆ A r e a⠀O f⠀F i e l d :
⇥ Area = Length × Breadth
⇥ Area = 15 m × 5 m
⇥ Area = 75 m²
∴ The Area of the rectangular field is 75 m².
Answered by
1
Explanation:
area of the field is leanth × breath
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