The area of a square field is 5184 metre square and rectangle field whose length is twice in breadth has its perimeter equal to the perimeter of a square field find the area of a rectangle field
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Step-by-step explanation:
let one side of the square = a meter
a²=5184
a=√5184
a=2^6×3^4
a=2³×3² = 72 meter
now perimeter of the square=4a=4×72= 288 meter
288= perimeter of the rectangle
let the length of the rectangle is L meter and width is B meter
2(L+B)=288
L+B=144
L=2B given
2B+B=144
3B=144
B=48
L=2×48=96
hence length of rectangle is 96 meter and width is 48 meter.
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