Trapezoid (Area & Perimeter) Calculator
getcalc.com's trapezoid calculator is an online basic geometry tool to calculate area & perimeter of trapezoidal plane or shape, in both US customary & metric (SI) units.
Steps to Find Area & Perimeter of a Trapezoid
The step by step workout for how to find what is the area and perimeter of a trapezoid.Workout :
step 1 Address the formula input parameter and values
Base 1 = 10 in
Base 2 = 5 in
Side 1 = 10 in
Side 2 = 8 in
step 2 Apply base values and side values in below Area formula
Height h = √s1² - (b2 - b1)²
= √10² - (5 - 10)² in
= √10² - (-5)² in
= √100 - (25) in
= √75 in
Height h = 8.6603 in
step 3 Substitute height value in Trapezoid Area formula
Area A = h (b1 + b2)2
= 8.6603 (10 + 5)2in²
= 8.6603 x 152in²
Area = 64.9519 in²
step 4 Apply base values and side values in perimeter formula
Perimeter P = b1 + b2 + s1 + s1
= 10 + 5 + 10 + 8 in
Perimeter P = 33 in
Trapezoid & Formulas
Trapezoid is a two dimensional plane or geometric shape represents quadrilateral with either no sides parallel to each other or with only two sides are parallel to each other in SI & US customary units measurements. The parallel sides and other two sides are called the base and lateral sides respectively. K-12 students may refer the below formulas to know what are all the parameters are being used to find the area & perimeter of trapezoid.
Problems on Finding the Area & Perimeter of Trapezoid
- Find what is the area and circumference of trapezoid whose length of base one is 6 inches, base two is 5 inches, side 1 is 7 inches, side 2 is 9 inches and height is 8 inches?
- What is the area and perimeter of trapezoid, if it has side 1 = 12 inches, side 2 = 16 inches, base 1 = 11 inches and , base 2 = 15 inches?