Question

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

answer choices
9 ft

10 ft

11 ft

12 ft

Answer 1

• Area =1/2(Sum of parallel sides)(Height)

Let unknown be x

• 1/2(x+15.5)(7.6)=98.8
• 3.8(x+15.5}=98.8
• x+15.5=26
• x=26 .03-15.5
• x=10.53
• x≈11ft

Answer 2

11 feet

Step-by-step explanation:

• area of trapezoid: 1/2 * (a + b) * h

Here given:

• a = 15 feet

• height = 7.6 feet

• area = 98.8 feet²

====================

Solving steps:

⇒ 1/2 * (15 + b) * 7.6 = 98.8

⇒ (15 + b) * 7.6 = 197.6

⇒ (15 + b) = 26

⇒ b = 11 ft