find the perimeter of the rectangle whose length is 40 cm and a daigram is 41 cm​

Question

find the perimeter of the rectangle whose length is 40 cm and a daigram is 41 cm​

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Sarah 4 weeks 2021-08-14T15:51:47+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-14T15:52:48+00:00

    Answer:

    perimeter of rectangle=98 cm

    Step-by-step explanation:

    => Length of rectangle = 40 cm

    => Diagonal of rectangle = 41 cm.

    To Find:

    => Perimeter of rectangle.

    Formula used:

    => Pythagoras Theorem.

    => Perimeter of rectangle.

    So, Let ABCD be a rectangle and AC is the diagonal of rectangle. We know that all angle of rectangle is 90°.

    So, by using Pythagoras theorem we will find breadth.

    => AB² + BC² = AC²

    => AB² + 40² = 41²

    => AB² + 1600 = 1681

    => AB² = 1681 – 1600

    => AB² = 81

    => AB = 9 cm.

    So, breadth of rectangle is 9 cm.

    Perimeter of rectangle = 2(L + B)

    => 2(40 + 9)

    => 2(49)

    => 98 cm

    So, perimeter of rectangle is 98 cm.

    0
    2021-08-14T15:53:10+00:00

    Answer:

    98 cm

    MARK BRAINLIEST

    Hope it helps you

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