Question

Find the length of the diagonal of a rectangle whose length and breadth are 4cm and 3m respectively

Answer 1

To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem.

Given that the length of the rectangle is 4 cm and the breadth is 3 m, we need to convert the units to the same before using the Pythagorean theorem.

1 meter = 100 centimeters

So, the length of the rectangle in centimeters is 3 m * 100 cm/m = 300 cm.

Now, we can use the Pythagorean theorem:

diagonal^2 = length^2 + breadth^2

diagonal^2 = 4^2 + 300^2

diagonal^2 = 16 + 90000

diagonal^2 = 90016

Taking the square root of both sides:

diagonal = sqrt(90016)

diagonal ≈ 300.0273 cm

So, the length of the diagonal of the rectangle is approximately 300.0273 cm.