Area of special quadrilateral practice

6cm 6cm 10cm

What is the area of the quadrilateral?

1 answer

To find the area of the quadrilateral, we first need to calculate the semi-perimeter:

Semi-perimeter = (6 + 6 + 10) / 2 = 22 / 2 = 11 cm

Next, we can use Heron's formula to calculate the area:

Area = √[11(11 - 6)(11 - 6)(11 - 10)]

Area = √[11(5)(5)(1)]

Area = √[11(125)]

Area = √1375

Area ≈ 37.08 cm²

Therefore, the area of the quadrilateral is approximately 37.08 cm².