area of a square field is 99856 square rectangular field whose length is thrice its breadth and its perimeter is equal to the perimeter of square find the area of rectangle
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Answer:
11832936 square unit
Step-by-step explanation:
let , breadth = x unit
so, length = 3x
perimeter of rectangle = 2*[3x +x] =8x
perimeter of a square having side a = 4a and area = 99856 (given)
so, a= (99856)^1/2 = 316 unit
so,perimeter of square = 4*a = 4*316 = 1264 square unit
now, as per question,
8x = 1264
x = 1264/8
so, x=158 unit
so, area of rectangle = length * breadth
= 3*x *x
= (3*158)*158 sq.unit
= 11832936 square unit
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