What is the Area & Perimeter of Trapezoid for bases 6, 5 & sides 7, 9
Area and Perimeter of trapezoid is 38.1051 and 27 respectively for base one 6, base two 5, side one 7 and side two 9, refer the calculation summary and work with steps for detailed explanation.| Calculation Summary | |
|---|---|
| Base 1 | 6 in |
| Base 2 | 5 in |
| side 1 | 7 in |
| side 2 | 9 in |
| Area A | 38.1051 in² |
| Perimeter P | 27 in |
Work with Steps to find Area & Perimeter of Trapezoid for bases 6, 5 & sides 7, 9
Question:
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?
Workout :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?
step 1 Address the formula input parameter and values
Base 1 = 6 in
Base 2 = 5 in
Side 1 = 7 in
Side 2 = 9 in
step 2 Apply base values and side values in below Area formula
Height h = √s1² - (b2 - b1)²
= √7² - (5 - 6)² in
= √7² - (-1)² in
= √49 - (1) in
= √48 in
Height h = 6.9282 in
step 3 Substitute height value in Trapezoid Area formula
Area A = h (b1 + b2)2
= 6.9282 (6 + 5)2in²
= 6.9282 x 112in²
= 76.21022in²
Area = 38.1051 in²
step 4 Apply base values and side values in perimeter formula
Perimeter P = b1 + b2 + s1 + s1
= 6 + 5 + 7 + 9 in
Perimeter P = 27 in
