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The length and breath of a rectangular field are 15 m and 30 m respectively. if a square field has the same Perimeter as this field the area of the square field is? |
| Answer» EXPLANATION:Given :The length and breath of a rectangular FIELD are 15 m and 30 m respectively. Perimeter of rectangular field = Perimeter of square field. To Find :The area of the square field. Solution :We know that,Perimeter of rectangular field = 2(L + b) => Perimeter = 2(15 + 30)=> Perimeter = 2(45)=> Perimeter = 90 mGiven that, Perimeter of rectangular field = Perimeter of square field. => 90 = 4 × a=> a = 90/4=> a = 22.5 mAgain, we know that,Area of square field = a²=> Area = 22.5²=> Area = 506.25 m²Hence :The area of the square field is 506.25 m². | |