The sides of the rectangle are 4 and 6 cm. Find the diagonal and area of the rectangle.

From the condition it is known that the sides of the rectangle are 4 cm and 6 cm.In order to find the area of the rectangle, we use the formula:

S = a * b;

We have enough data to calculate it. Substitute the values and perform the calculation:

S = 4 * 6 = 24 cm ^ 2;

And to find the diagonal of a rectangle, we use the Pythagorean theorem. Since a diagonal with two sides forms a right-angled triangle, we can consider it as the hypotenuse of the triangle.

c ^ 2 = a ^ 2 + b ^ 2;

c = √ (a ^ 2 + b ^ 2) = √ (4 ^ 2 + 6 ^ 2) = √ (16 + 64) = √80 = 4√5 cm diagonal of the rectangle.



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