#### 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 Calculator - Online Calculator - Tutorpace

# Trapezoid 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 Calculator is used to area and perimeter of a 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.

Perimeter = side1 + base1 + base2 + side2

Example 1: Calculation of the area  and perimeter of a trapezoid where Bases are a= 5cm and b = 4cm, and height = 8cm, side1 = 4 and side2 = 7cm

For the given question

Area of trapezoid = ½ (a + b ) h

= ½ x (5 cm + 4 cm) 8 cm

= ½ (9 cm) 8 cm = 36 cm2

Area of trapezoid = 36 cm2

Perimeter = side1+base1+base2+side2

=  4+7+5+4

Perimeter of Trapezoid = 20 cm

Example 2: Calculation of the area and perimeter of a isosceles trapezoid where Bases are a= 6cm and b = 4cm, and height = 5cm

For the given question

Area of trapezoid = ½(a+b)h

= ½ x (6+4)5

= ½ (10cm) 5cm  = 25cm2

Perimeter = side1+base1+base2+side2 Since its isosceles trapezoid side1 = side2 = s

Use Pythagoras theorem to find side s ; S2= (a-b /2)2 + h2 ; s = √1+25 = √26

Perimeter = √26+√26+6+4 = 2√26+10

Perimeter of Trapezoid = 2√26+10cm