Find the length of the diagonal of a rectangle whose length and breadth are 4cm and 3m respectively
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.
To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the length of the rectangle is given as 4 cm and the breadth is given as 3 m. To calculate the diagonal, we need to convert the units to the same unit (either cm or m).
Converting the breadth from meters to centimeters, we have:
1 m = 100 cm
Therefore, 3 m = 3 * 100 cm = 300 cm
Now, we can apply 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 to solve for the diagonal, we have:
diagonal = √90016
Using a calculator, we find that the square root of 90016 is approximately 300.02 cm.
Therefore, the length of the diagonal of the rectangle is approximately 300.02 cm.
To find the length of the diagonal of a rectangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length and breadth of the rectangle are given as 4cm and 3m respectively. We need to convert the units to ensure they are in the same unit.
1 meter (m) = 100 centimeters (cm)
So, we convert 3m to cm by multiplying it by 100.
3m * 100 = 300cm
Now we have the length and breadth of the rectangle as 4cm and 300cm.
Let's label the length as 'a', the breadth as 'b', and the diagonal as 'c'.
According to the Pythagorean theorem:
a² + b² = c²
Substituting the values:
4² + 300² = c²
16 + 90000 = c²
90016 = c²
Now, we need to find the square root of 90016 to get the length of the diagonal.
√90016 ≈ 300.027
Therefore, the length of the diagonal of the rectangle is approximately 300.027 cm.