The breadth of rectangle is 2 less than one third of length of the rectangle. Find area if its perimeter is 260 m. please answer in detail
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Answer:
Thus,area of the rectangle is 3069m²
Step-by-step explanation:
Let the length of the rectangle be x
Thus,breadth of the rectangle=1/3x-2
Perimeter=260m
2(l+b)=260
2(x+1/3x-2)=260
2x+2/3x-4=260
2x+2/3x=264
6x+2x/3=264
8x=792
x=792/8
x=99
Thus,length if the rectangle is 99m
Breadth=1/3×99-2=31m
Hence,area of the rectangle=l×b
99×31
3069m²
Thus,area of the rectangle is 3069m²
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