The area of the trapezoid is 288 cm ^ 2 of the base, refer to 4 ÷ 5 height 3.2 dm calculate the base.

Given:
trapezoid ABCE,
AE: BC = 4: 5;
AN – height;
AH = 3.2 decimeters = 32 centimeters;
S ABCE = 288 cm ^ 2.
Find the lengths of the bases of the trapezoid ABCE, that is, AE and BC -?
Decision:
Consider the trapezoid ABCE.
Let the length of the base AE be 4 * x centimeters, then the length of the base BC is 5 * x centimeters. We know that the area of ​​a trapezoid is equal to the product of the half-sum of the bases and the height and is equal to 288 cm ^ 2. Let’s make the equation:
(4 * x + 6 * x): 2 * 32 = 288;
10 * x: 2 = 288;
10 * x = 576;
x = 576: 10;
x = 57.6 centimeters;
57.6 * 4 = 23.04 centimeters – the length of the AE base;
57.6 * 5 = 288 centimeters – the length of the base of the sun.
Answer: 23.04 centimeters; 288 centimeters.