Could someone please help me with this problem. I posted it yesterday but the teacher who tried to help me didn't know what I was fully talking about and I hope you can.
Directions: Find the area of each shaded region in simplest form.
(Imagine a medium rectangle that has 5x-1 on the top, 2x on the left side and inside the square in the corner is a right angle box with a 3 on the top and a 2 on the left side. Inside the retangle is the shaded region expect the box)
So this is what I came up with
10x^2-1+3+2=
10x^2+4
Sorry I have a mistake where it says 2x on the left saide and in side the square, square is supposed to be rectangle.
Total area in rectangle=(5x-1)(2x)
area in box: 3(2)=6
Shaded area then is
(5x-1)(2x)-6
10x^2-2x-6
Thanks so much for your help
Ah, Madeline, now you changed the wording of the question.
Yesterday you had
http://www.jiskha.com/display.cgi?id=1237657896
To find the area of the shaded region, you'll need to break down the problem into smaller parts.
Let's start by finding the area of the large rectangle. In this case, the length is given by 5x - 1 and the width is given by 2x. So the area of the large rectangle is (5x - 1)(2x).
Next, let's calculate the area of the smaller rectangle inside the corner. The length of this rectangle is 3 and the width is 2. Therefore, the area of the smaller rectangle is (3)(2).
To find the area of the shaded region, you need to subtract the area of the smaller rectangle from the area of the larger rectangle. So the expression becomes:
(5x - 1)(2x) - (3)(2)
Now, let's simplify the expression by multiplying out the terms:
10x^2 - 2x - 6
Therefore, the simplified expression for the area of the shaded region is 10x^2 - 2x - 6.