4. Find the smallest number by which 3645 must be divided so that it becomes a perfect square. Also, find the square root of the resulting number.
5. A gardener planted 1521 trees in rows such that the number of rows was equal to the number of plants in each row. Find the number of rows.
6. An officer wants to arrange 202500 cadets in the form of a square. How many cadets were there in each row?
7. The area of a square field is 5184 m2. A rectangular field, whose length is twice its breadth, has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field.
(answer fast with steps)
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Step-by-step explanation:
7)
area of square = 5184
in rectangular field
let breadth be x
then length will be 2x
perimeter of rectangle = 2(l+b)
= 2(2x+x)
= 2(3x)
= 6x
given
perimeter of rectangle = perimeter of square
6x= 5184
x=5184/6
x=864
area of rectangle = l*b
= 2x(x)
= 2(x) square
= 2(864)square
= 1728msquare
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