Question

Please help me! Determine the area

Answer 1

9514 1404 393

Answer:

  31.41 ft²

Step-by-step explanation:

Heron's formula is useful when you have the three side lengths.

  A = √(s(s -a)(s -b)(s -c)) . . . . sides are a, b, c and s = (a+b+c)/2

Using the given side lengths, we have ...

  s = (8 +8.4 +13.5)/2 = 29.9/2 = 14.95

  A = √(14.95(14.95 -8)(14.95 -8.4)(14.95 -13.5)) = √(14.95×6.95×6.55×1.45)

  A = √986.81399375 ≈ 31.41 . . . . square feet