One lateral face of the roof of the school building is trapezoid in shape. One of the  bases of this trapezoid is 4 m longer than the other base. Find the length of the two  bases if the median measures 18 m.

The answers are:

Shorter Base or Base 1 = 16

Longer Base or Base 2 = 20

Solution:

Given:

Median = 18 m

Let us set variables for the bases:

Shorter Base or Base 1 =  x

since "One of the  bases of this trapezoid is 4 m longer than the other base", then:

Longer Base or Base 2 = x + 4

Find x, to get Base 1 and Base 2

Equation:

Formula:

Substituting the given we have:

Solution:

Then, we cross multiply,

18 × 2 = 2x + 4

36 = 2x + 4

2x = 36 - 4

2x = 32

Dividing both sides by 2,

x = 16

We now go back to Base 1 and Base 2

Base 1 => x = 16

Base 2 => (x + 4) = 16 + 4 = 20

Final Answer:

Base 1 = 16

Base 2 = 20

Learn More:

1. Formula of a Trapezoid's Area: brainly.ph/question/110550

2. Formula of Base 1 in Trapezoid: brainly.ph/question/105193