1.

Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.

Answer» We can create a rectangle ABCD with the given details.
One side of rectangle `AB = 40` cm
Diagonal of rectangle `AC = 41` cm
So, other side of rectangle, `BC = sqrt(41^2-40^2)cm`
`BC = sqrt(1681-1600) = sqrt81 = 9cm`
So, Perimeter of rectangle ABCD, `P = 2**(AB+BC)`
`P = 2**(40+9) = 2**49 = 98cm`


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