Find the length of the second base of a trapezoid

with one base measuring 15 feet, a height of

7.6 feet, and an area of 98.8 square feet.

A. 9 ft

B. 10 ft

C. 11 ft

D. 12 ft

11 ft

Step-by-step explanation:

The area of a trapezoid is given as:

A = ½ (a + b) h

Where a = length of one base of the trapezoid = 15 ft

b = length of the second base of th trapezoid

h = height of the trapezoid = 7.6 ft

When the area is 98.8 ft², the length of the second base will be:

98.8 = ½ (a + 15) * 7.6

2 * 98.8 = (a + 15) * 7.6

197.6 / 7.6 = (a + 15)

26 = (a + 15)

=> a = 26 - 15 = 11 ft

The length of the second base if the trapezoid is 11 ft.