(High points) please solve with explanation

The area and the perimeter of the picture are:

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

We subtract to the found area:

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

Where:

So, we replace in the theorem:

At last, we add all the sides of the picture begining by the base and going by the left side:

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation:

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5