# Centroid of a Trapezoid Formula

A trapezoid is a quadrilateral with two sides parallel. The centroid of a trapezoid lies between the two bases. For any trapezoid with parallel sides a and b, use below given formula.

Find below formula for the centroid of trapezoid located a distance of x,

$\LARGE x = \frac{b+2a}{3(a+b)}h$

Where,
h = height of trapezoid
a and b = P
arallel sides,

### Solved Examples

Question 1: Find the centroid of trapezoid with the given dimensions?a = 12′ ; b = 5′ ; h = 5′

Solution: Given a = 12′; b = 5′; h = 5’Using centroid of trapezoid formula,

x = $\frac{b + 2a}{3(a + b)}$ h

x = $\frac{5 + 2 \times 12}{3(12 + 5)}$ 5

x = 2.84

Hence, the centroid of the trapezoid is 2.84′

#### Practise This Question

A bowling ball is thrown down the alley in such a way that it slides with a speed v0 initially without rolling. What will it it's speed be when (and if) it starts pure rolling? The transition from pure sliding to pure rolling is gradual, so that both sliding and rolling takes place during this interval.