a rectangle with perimeter 44 cm is divided into 5 congruent triangles as shown in the figure. what will be the perimeter of each of the congruent triangle?
We can't answer without the figure.
To find the perimeter of each congruent triangle, we first need to find the dimensions of the rectangle.
Let's assume the length of the rectangle is L and the width is W.
The perimeter of a rectangle is given by the formula:
Perimeter = 2L + 2W
In this case, the given perimeter is 44 cm:
44 = 2L + 2W
Now, let's divide the rectangle into 5 congruent triangles. Since the triangles are congruent, they will have the same shape and size.
To find the dimensions of each triangle, we will divide the length and width of the rectangle by the appropriate factor.
Since the rectangle is divided into 5 congruent triangles, we can divide the length (L) into 5 equal parts. Similarly, we can divide the width (W) into 5 equal parts.
Hence, the dimensions of each triangle will be (L/5) and (W/5).
Now, let's calculate the perimeter of each triangle:
Perimeter of each triangle = 2 * (L/5) + 2 * (W/5)
Simplifying further:
Perimeter of each triangle = (2L/5) + (2W/5)
Since we already know that 2L + 2W = 44 (given perimeter), we can substitute the value of 2L and 2W into the equation for the perimeter of each triangle:
Perimeter of each triangle = (2L/5) + (2W/5)
= (2*(44 - 2W)/5) + (2W/5)
= (88 - 4W)/5 + 2W/5
= (88 + 2W - 4W)/5
= (88 - 2W)/5
Hence, the perimeter of each congruent triangle will be (88 - 2W)/5 cm.