Answered

The area of a trapezoid is 69.6 in2 and its altitude is 8.7 in. Find the perimeter of the trapezoid if the sum of its legs is equal to the sum of its bases.

Answer :

The perimeter is 32 inches.
Matheng

The area of a trapezoid = (1/2) * (altitude) * (sum of bases) = 69.6 in²

 Altitude = 8.7 in

∴ (1/2) * 8.7 * (sum of bases) = 69.6
    sum of bases = 2 * 69.6 / 8.7 = 16 in
And  
     sum of bases = sum of legs   ⇒⇒⇒⇒⇒⇒ (Given)
∴  sum of legs =16 in

The perimeter of the trapezoid = sum of bases + sum of legs = 16 +16 = 32 in

Other Questions