#### A PHP Error was encountered

Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/calculator.php

Line Number: 37

Trapezoid Area Calculator - Online Calculator - Tutorpace

# Trapezoid Area Calculator

## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

#### SIGN UP FOR A FREE TRIAL

Trapezoid area Calculator is used to calculate total space inside the trapezoid called the area of the trapezoid. A trapezoid is any quadrilateral figure that has one pair of parallel side, and has 2 bases and a height.

Area = ½ (a+b)h, where a and b are bases and h is height.

Example 1: Calculation of the area of a trapezoid where Bases are a= 7 cm and b = 3 cm, and height = 9 cm

For the given question

Area of trapezoid = ½ (base1 + base2) height =  ½ (a + b ) h

= ½ x (7 cm + 3 cm) 9 cm [ replacing the values of a, b and h ]

= ½ (10 cm) 9 cm = 90 cm2

Area of trapezoid = 45 cm2

Example 2: Calculation of the area of a isosceles trapezoid where Bases are a= 12cm and b = 4cm, and side = 5cm

For the given question

Area of trapezoid = ½ ( a + b ) h

Since its isosceles trapezoid side1 = side2 = s

Use Pythagoras theorem to find side s ;

h2= s2 - (a-b /2)2;

h = √25 - (12-4/ 2) = √21

= ½ x (12+4) √21

= ½ (16 cm) √21 cm  = 8√21 cm2