The square show below has been divided into four rectangles. if the side of each of the segments in the diagram is an integer , and the areas of two rectangle are 192 cm sq and 1152 cm sq, then find the difference of the areas of other rectangles.
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difference of the areas of other rectangles. = 192 cm²
Step-by-step explanation:
One of the possible solution by hit and trial method
one rectangle
12 * 16 = 192 cm²
36 * 32 = 1152 cm²
12 + 36 = 48
16 + 32 = 48
Square is of 48 * 48
Area of remaining two rectangles
= 36 * 16 and 32 * 12
Difference
= 16 * 12 ( 3 - 2)
= 16 * 12
= 192 cm²
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