A rectangle with dimensions equal to 4 inches and 6 inches is divided by two equal rectangles.

| August 1, 2021 | education

A rectangle with dimensions equal to 4 inches and 6 inches is divided by two equal rectangles. Find the perimeters of the resulting rectangles. How many solutions does the problem have?

1. To get two equal rectangles, you need to halve the opposite sides. Determine the side of the new rectangle after dividing its length:

6: 2 = 3 dm;

2. Determine the perimeter of the rectangles after dividing the length:

(3 + 4) x 2 = 7 x 2 = 14 dm;

3. Determine the side of the new rectangle after dividing its width:

4: 2 = 2 dm;

4. Determine the perimeter of the new rectangles after dividing the width:

(6 + 2) x 2 = 8 x 2 = 16 dm.

Answer: the problem has two solutions. In the first case, the perimeter of the new rectangles will be 14 dm, in the second case – 16 dm.



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