Find the area of the rectangle width 6cm. And the diagonal is 10cm

As you know, the area of ​​a rectangle is calculated by the formula: S = a * b, where a is the length of the rectangle, b is the width of the rectangle.
In order to find the length of the rectangle, we use the Pythagorean theorem: c² = a² + b², where c is the diagonal of the rectangle, a is the length of the rectangle, b is the width of the rectangle.
Substitute all known values ​​into the formula and calculate the length of the rectangle: 10² = a² + 6².
100 = a² + 36.
a² = 100 – 36 = 64.
a = √64 = 8 cm.
Substitute all known values ​​into the formula and calculate the area of ​​the rectangle: S = 8 * 6 = 48 cm².
Answer: the area of ​​the rectangle is 48 cm².