A square of area 49 sq. cm is cut out from a rectangle of length 9 cm. It is the largest square that can be cut out from this rectangle.
What will be the area of the remaining part?
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Answer:
The area of square is 49cm
2
The side of square is
49
=7cm
The perimeter of square is 4×7=28
⟹ The perimeter of rectangle is 28
The length of rectangle is 9.3cm
The breadth of rectangle is 2(9.3+b)=28
9.3+b=14
b=14−9.3
b=4.7cm
Area of rectangle is 4.7×9.3=43.71cm
2
The square has greates area.
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