Respuesta :

Answer:

28 cm squared

Step-by-step explanation:

This polygon is simply the combination of a square with dimensions 4 cm by 4 cm and a triangle with a base of 4 and a height of 6.

The area of a square is: A = s * s, where s is the side length. Here, the side length is 4, so s = 4 and A = 4 * 4 = 16 cm squared.

The area of a triangle is: A = (1/2) * b * h, where b is the base and h is the height. Here, the base is actually shared with the side of the square, so b = 4 and the height is labelled 6, so h = 6. Plug these into the equation: A = (1/2) * b * h = (1/2) * 4 * 6 = 12 cm squared.

Add these together: 16 + 12 = 28 cm squared.

Hope this helps!

Answer:

28 cm²

Step-by-step explanation:

Area of the square=(4 cm)²=16cm²

Area of the triangle=1/2 x base x height

= 1/2 x 4 x 6

= 2 x 6 cm²=12cm²

Area of the figure=12+16=28cm²