the perimeter of the rectangle ABCD is 30 cm. Alisa cuts 3 rectangles from that rectangle. the sum of the three perimeter is 20. what is the perimeter of the figure obtained after the cutting
I'll assume that all 3 small rectangles are cut from the same end of the larger rectangle.
If y is the height of the large rectangle, then the three small rectangles have total perimeter of 6y+x, where x is the sum of their widths.
If the width of the larger rectangle is w, then
2(w+y) = 30
w+y = 15
Now, 2x+6y = 20
x = 10-3y = 10-3(15-w) = 3w-45
The perimeter of the figure after cutting is p=30-(x+y)
So, consider the possibilities.
y=1 (big rectangle is 14x1) x=7 so p=30-8=22
y=2, x=4, 24
and so on
Maybe there is more to the problem than you gave.
To find the perimeter of the figure obtained after cutting, we need to determine the length and width of the rectangle ABCD.
Let's assume the length of the rectangle ABCD is L cm and the width is W cm.
The formula for the perimeter of a rectangle is given by P = 2(L + W).
So, the perimeter of ABCD is 2(L + W) = 30 cm.
Now, Alisa cuts 3 rectangles from ABCD, which means 3 rectangles are removed. Let's say the perimeter of the rectangle Alisa cuts is P1 cm, the second rectangle is P2 cm, and the third rectangle is P3 cm.
The sum of the three perimeters is given by P = P1 + P2 + P3 = 20 cm.
Now, let's find the perimeter of the figure obtained after cutting. To do this, we subtract the sum of the three perimeters from the perimeter of ABCD.
Perimeter of the figure obtained = Perimeter of ABCD - (P1 + P2 + P3)
Perimeter of the figure obtained = 30 cm - 20 cm
Perimeter of the figure obtained = 10 cm.
Therefore, the perimeter of the figure obtained after cutting is 10 cm.
To find the perimeter of the figure obtained after cutting, we need to first determine the dimensions of the rectangles that Alisa cut from the original rectangle.
Let's assume the length of rectangle AB is x cm, and the width is y cm.
The perimeter of a rectangle is given by the formula: perimeter = 2(length + width)
Since we are given that the perimeter of the original rectangle ABCD is 30 cm, we can write the equation:
2(x + y) = 30
Now let's consider the three rectangles that Alisa cuts from the original rectangle. Since the sum of their perimeters is 20 cm, we can write the equation:
perimeter of rectangle 1 + perimeter of rectangle 2 + perimeter of rectangle 3 = 20
Let's assume the dimensions of the three rectangles Alisa cuts are:
Rectangle 1: length = a cm, width = b cm
Rectangle 2: length = c cm, width = d cm
Rectangle 3: length = e cm, width = f cm
We can calculate the perimeters of these three rectangles using the same formula:
perimeter of rectangle 1 = 2(a + b)
perimeter of rectangle 2 = 2(c + d)
perimeter of rectangle 3 = 2(e + f)
Now, we need to calculate the perimeter of the figure obtained after the cutting.
Perimeter of the figure obtained = Perimeter of the original rectangle - Sum of the perimeters of the three cut rectangles
Perimeter of the figure obtained = 2(x + y) - (2(a + b) + 2(c + d) + 2(e + f))
We are not given the specific dimensions of the cut rectangles, so we can't determine the exact value of the perimeter of the figure obtained after the cutting without additional information.