centimeter dot array draw all possible rectangles with the area of 16 sq cm and sides whose lengths are whole centameters. lable lengths of two adjacent sides of each rectangle?? how do you do this
Oops -- I see this is a different problem. This time the area is 16 sq. cm.
4 by 4
2 by 8
1 by 16
Use the dimensions I gave you in this post.
http://www.jiskha.com/display.cgi?id=1338420047
Be sure to draw the rectangles using those measurements.
To draw all possible rectangles with an area of 16 square centimeters and sides whose lengths are whole centimeters, you can use a dot array. Here's how you can approach it step by step:
Step 1: Draw a grid
Draw a grid using dot paper or create a digital grid with dots spaced one centimeter apart. This will help you visualize and organize the rectangles.
Step 2: Determine the factors of 16
The area of a rectangle is calculated by multiplying its length and width. In this case, the area is 16 square centimeters. To find all possible rectangles, you need to determine the factors of 16, as these will be the possible combinations of length and width.
The factors of 16 are: 1, 2, 4, 8, and 16. Note that you have to find pairs of factors, as the sides must have whole centimeter lengths.
Step 3: Identify possible rectangles
For each pair of factors, draw rectangles on the dot grid. Start by choosing one factor as a length and the other as a width. Remember to label the lengths of the adjacent sides.
For example:
- If one side of the rectangle is 1 cm and the other side is 16 cm, then label the lengths as 1 cm and 16 cm respectively.
- If one side is 2 cm and the other side is 8 cm, label them as 2 cm and 8 cm respectively.
Repeat this process for all possible pairs of factors.
Step 4: Complete the rectangle drawing
Once you have labeled the sides of each rectangle, complete the drawing by connecting the dots and framing the rectangle shape.
Remember, the goal is to find all possible rectangles with an area of 16 square centimeters and sides of whole centimeter lengths. By using the dot grid and identifying the factors of 16, you can systematically draw all the different combinations of rectangles.