The length of the midline of the trapezoid is 7. Find the length of the smaller base

univerkov | June 10, 2021 | education

The length of the midline of the trapezoid is 7. Find the length of the smaller base of the trapezoid if it is 40% of the length of the larger base.

Let the length of the larger base be AD = X cm, then the length of the smaller base will be: BC = AD * 40/100 = 0.4 * X cm.

The length of the midline of the trapezoid is equal to half the sum of the lengths of its bases.

KP = (AD + BC) / 2.

7 = (X + 0.4 * X) / 2.

1.4 * X = 7 * 2 = 14.

X = D = 14 / 1.4 = 10 cm.

Then BC = 0.4 * 10 = 4 cm.

Answer: The length of the smaller base is 4 cm.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.