Find the area of the composite figure. Make sure to show all steps and work for full credit.

Question

6cm (the top base). 5 cm (the side, to the left). 14 cm (the bottom base).

Area of a triangle: 1/2 times b times h
Area of a parallelogram: base times height

Answer 1

First, find the area of the triangle on top:

1/2 (6 cm) * 5 cm = 15 cm²

Now, find the area of the parallelogram on the bottom:

14 cm * 5 cm = 70 cm²

Add the two areas together to find the total area of the composite figure:

15 cm² + 70 cm² = 85 cm²

Therefore, the area of the composite figure is 85 cm².

Answer 2

no the measurements are for the parallelogram, the triangle is sectioned off to the right it has to measurements. It' a scalene triangle

Answer 3

Apologies for the confusion.

Let's first find the area of the parallelogram at the bottom:
Area of a parallelogram = base x height
Area = 14 cm x 5 cm = 70 cm²

Now, let's find the area of the scalene triangle on the top right. Since it is a scalene triangle, we need to use Heron's formula to find the area.

First, calculate the semi-perimeter:
s = (6 cm + 14 cm + 5 cm) / 2 = 25 cm

Now, use Heron's formula to find the area of the triangle:
Area = √[s(s - 6)(s - 14)(s - 5)]
Area = √[25(25 - 6)(25 - 14)(25 - 5)]
Area = √[25(19)(11)(20)]
Area = √(104500)
Area ≈ 323.11 cm²

Finally, add the areas of the parallelogram and the triangle to get the total area of the composite figure:
Total Area = 70 cm² (parallelogram) + 323.11 cm² (triangle)
Total Area ≈ 393.11 cm²

Therefore, the area of the composite figure is approximately 393.11 cm².