1.

Find the perimeter of the rectangle whose length is 40cm and a diagonal is 41cm.Explain it too.​

Answer»

Step-by-step EXPLANATION:

LENGTH = 40 cm(GIVEN)

Diagonal = 41 cm

Diagonal = \sqrt{(length)^{2}+(breadth)^{2}  }

41=\sqrt{(40)^{2}+b^{2}  }

1600+b^{2} =41^{2}

1600+b^{2} =1681

b^{2} =1681-1600

b^{2} =81

b=\sqrt{81}

b=\sqrt{9*9}

∴b=9 cm

Perimeter of a rectangle = 2(l+b)

                                         = 2(40+9)

                                         = 2*49

                                         = 98 cm

Hence, the perimeter of the rectangle is 98 cm.

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