Calculators & Converters

    What is the Area & Perimeter of Trapezoid for bases 6, 5 & sides 7, 9

    Trapezoid CalculatorArea 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 16 in
    Base 25 in
    side 17 in
    side 29 in
    Area A38.1051 in²
    Perimeter P27 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 :
    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
    = √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

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