What is the Area & Perimeter of Trapezoid for bases 11, 15 & sides 12, 16
Area and Perimeter of trapezoid is 147.0782 and 54 respectively for base one 11, base two 15, side one 12 and side two 16, refer the calculation summary and work with steps for detailed explanation.| Calculation Summary | |
|---|---|
| Base 1 | 11 in |
| Base 2 | 15 in |
| side 1 | 12 in |
| side 2 | 16 in |
| Area A | 147.0782 in² |
| Perimeter P | 54 in |
Work with Steps to find Area & Perimeter of Trapezoid for bases 11, 15 & sides 12, 16
Question:
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?
Workout :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?
step 1 Address the formula input parameter and values
Base 1 = 11 in
Base 2 = 15 in
Side 1 = 12 in
Side 2 = 16 in
step 2 Apply base values and side values in below Area formula
Height h = √s1² - (b2 - b1)²
= √12² - (15 - 11)² in
= √12² - (4)² in
= √144 - (16) in
= √128 in
Height h = 11.3137 in
step 3 Substitute height value in Trapezoid Area formula
Area A = h (b1 + b2)2
= 11.3137 (11 + 15)2in²
= 11.3137 x 262in²
= 294.15622in²
Area = 147.0782 in²
step 4 Apply base values and side values in perimeter formula
Perimeter P = b1 + b2 + s1 + s1
= 11 + 15 + 12 + 16 in
Perimeter P = 54 in
