# 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 proton and a deutron both having the same kinetic energy, enter perpendicularly into a uniform magnetic field B. For motion of proton and deutron on circular path of radius  Rp and Rd respectively, the correct statement is