Question

A Trapezoid has the following: Area is 35, Height is 5, Short Base is 3. What is the Long Base?

A) 12
B) 13
C) 14
D) 15

Answer 1

To find the long base of the trapezoid, use the formula for the area of a trapezoid and solve for the long base. Therefore, the long base of the trapezoid is 11. The correct answer is A) 12.

Step-by-step explanation:

To find the long base of the trapezoid, we can use the formula for the area of a trapezoid:

Area = (1/2) × (short base + long base) × height

Plugging in the given values, we have:
35 = (1/2) × (3 + long base) × 5

Simplifying the equation, we get:
70 = (3 + long base) × 5
Dividing both sides by 5, we get:
14 = 3 + long base

Subtracting 3 from both sides, we get:
long base = 14 - 3 = 11

Therefore, the long base of the trapezoid is 11. The correct answer is A) 12.