the perimeter of square is equal to the perimeter of a rectangle of dimension 15 cm×13 cm. Find which one has the large area
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Given:-
- Perimeter of spuare is equal to that of rectangle.
- Dimension of rectangle is 15cm × 13cm
Solution:-
Perimeter of rectangle = 2(l+b)
=> 2(15+13) cm
=> 2×28 cm
=> 56 cm
Now,
Perimeter of square = 56 cm
4×side = 56 cm
side = 56/4
side = 14 cm
We have to find the areas of both square and rectangle.
Area of rectangle = l×b
=> (15×13) cm²
=> 195 cm²
Area of square = side²
=> (14)² cm²
=> 196 cm²
Thus, Square has the larger area.
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