Question

У рівнобічній трапеції основы дорівнюють 4см і 20 см, бічна сторона 15 см. Знайдіть площу трапеції

Answer 1

Calculation of the Trapezoid's Area

To find the area of a trapezoid, we can use the formula:

Area = (a + b) * h / 2

Where: - a and b are the lengths of the parallel bases of the trapezoid - h is the height of the trapezoid

In this case, the lengths of the parallel bases are given as 4 cm and 20 cm, and the height is given as 15 cm. Plugging these values into the formula, we can calculate the area of the trapezoid.

Area = (4 cm + 20 cm) * 15 cm / 2

Calculating this expression gives us:

Area = 24 cm * 15 cm / 2

Simplifying further:

Area = 360 cm²

Therefore, the area of the trapezoid is 360 cm².