Find the perimeter of a rectangle with length = 24 cm and diagonal = 25 cm

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asked 6 days ago in Class VII Maths by navnit40 (-3,089 points)

Find the perimeter of a rectangle with length = 24 cm and diagonal = 25 cm.

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1 Answer

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answered 6 days ago by muskan15 (-2,499 points)

Length of a rectangle (l) = 24 cm Diagonal = 25 cm

Let breadth of the rectangle = b m
Applying Pythagoras Theorem in triangle ABC,
We get, (AC)2 = (AB)2 + (BC)2
(25)= (24)2 + (b)2
625 = 576 + (b)2
625 – 576 = b2
49 = A2
√7x7 = b
∴ b = 7 cm
Now, perimeter of the rectangle
= 2(l + b)
= 2(24 + 7)
= 2(31)
= 62 cm

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