Question

the area of square field is 841 metre square a rectangular field whose length is twice its breadth has its perimeter equal to the perimeter of square field find the area of rectangular field

Answer 1

1. let  "a" be side of square
2. area of square is =a²=841
3. from this we get a=29
4. perimeter of square=4a=4*29=116
5. Let "l" be length and "b" be the breadth of rectangle and given length is twice its breadth i.e,l=2b and perimeter equal to the perimeter of square field. hence we get as follows
6. perimeter of rectangle is 2(l+b)=2(2b+b)=116
7. from this we get b=19.33
8. l=2b=2(19.33)=38.66
9. hence area of rectangle is l*b=747.2978