Respuesta :

Answer:

11

Step-by-step explanation:

Trapezoid area = (base1 +base2) x h/2

=> Base2 =[Area x 2/h]-base1 = [98.8 x 2/7.6] - 15 = 26-15=11

The length of the second base of a trapezoid with an area of 98.8 square ft and a height of 7.6 ft is 11 ft.

What is a trapezium?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

A trapezoid with one base measuring 15 feet, a height of 7.6 feet, and an area of 98.8 square feet.

We know that the area of the trapezium is given as

[tex]\rm Area = \dfrac{1}{2} \times (sum\ of\ parallel \ side) \times height[/tex]

Let the length of the second base of a trapezoid be x. Then we have

[tex]\begin{aligned} 98.8 &= \dfrac{1}{2} \rm \times (x +15) \times 7.6\\\\\rm x + 15 &= 26\\\\\rm x &= 11 \end{aligned}[/tex]

More about the trapezium link is given below.

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