find the area of the composite shape.

10cm, 10cm, 5cm, 7cm

To find the area of the composite shape, we first need to break it down into simpler shapes.

The composite shape consists of a rectangle with dimensions 10 cm by 5 cm and a triangle with a base of 5 cm and a height of 7 cm.

Area of rectangle = length x width = 10 cm x 5 cm = 50 cm^2
Area of triangle = 1/2 x base x height = 1/2 x 5 cm x 7 cm = 17.5 cm^2

Total area of the composite shape = Area of rectangle + Area of triangle = 50 cm^2 + 17.5 cm^2 = 67.5 cm^2

Therefore, the area of the composite shape is 67.5 cm^2.