Answer:
105
Step-by-step explanation:
Well, this figure, as you can see, is made of two figures - a triangle and a rectangle.
To find it's area we will find the areas of the triangle and the rectangle separately and then sum them. I hope you get why we do that.
So, let's start with the rectangle.
The area of the rectangle is very easy to find simply just multiply the lenghts of its two sides:
A1 = 7 * 12 = 84
Now, the triangle.
You can see that one of the smaller sides of the rectangle is equal to 7. The side in front of it is also 7. Notice that this side is also equal to one of the sides of the triangle, its base.
So from the figure we can tell that the base of the triangle is equal to 7, we are also given its height.
There is a formula we can use here to find the area. The area of a triangle is equal to its base (a) multiplied by the height(h) and divided by 2. I'll call the area of the triangle A2.
We know the height
h = 6
I hope you noticed that we also know the base
a = 7
So we just use the formula:
A2 = (6 * 7) / 2 = 42 / 2 = 21
Now that we have the areas of the two figures, A1 and A2, all we have to do is to sum them to find the area of the big one.
So, let's do it:
A = A1 + A2
A = 84 + 21 = 105
