The area of the trapezoid is 288 cm ^ 2, the base is referred to as 4: 5 height – 3.2 dm. find reasons.

Let the length of the base BC = 4 * X cm, then the length of the base AD = 5 * X cm.

Height HВ = 3.2 dm = 32 cm.

The area of the trapezoid is equal to the product of the half-sum of the lengths of its bases by the height.

Str = (AD + BC) * ВН / 2.

288 = (5 * X + 4 * X) * 32/2.

9 * X = 288 * 2/32 = 18.

X = 18/9 = 2.

Then the bases of the trapezoid are equal: AD = 5 * 2 = 10 cm, BC = 4 * 2 = 8 cm.

Answer: The bases of the trapezoid are equal to AD = 10 cm and BC = 8 cm.