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rectangle A and B are identical. each has a perimeter of 40cm. they are put together to make a new rectangle. the perimeter of the new rectangle is 68cm. work out the length and width of rectangle A.

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sqdancefan

Answer:

  6 cm by 14 cm

Step-by-step explanation:

The perimeter of the joined figure will be the sum of the perimeters of rectangles A and B, less the lengths of the sides that are joined. The two joined sides have a total length of ...

  (40 cm) +(40 cm) -(68 cm) = 12 cm

Then the length of the joined sides is 6 cm. The length of the other side of the rectangle is the difference between half the perimeter and this, or ...

  (40 cm)/2 -6 cm = 14 cm

The length and width of rectangles A and B are 14 cm and 6 cm. When put together, they are joined on the 6 cm side.

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