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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​

User Bia
by
4.8k points

1 Answer

2 votes

Answer:

11 ft

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.