the perimeter of the squareis equal to that of a rectangle of length 17 m and breadth 11m. Find the Area of the square.
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noun
1.
MATHEMATICS
a statement that the values of two mathematical expressions are equal (indicated by the sign =).
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mathematical problem
sum
calculation
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equality
2.
the process of equating one thing with another.
"the equation of science with objectivity"
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Given:
- perimeter of square = perimeter of rectangle
- Length of rectangle = 17m
- Breadth of rectangle = 11m
To Find:
- Area of square
Solution:
Perimeter of square = 4 * side
Perimeter of rectangle = 2(l + b)
But, as they both are equal,
=> 4 * side = 2(l + b)
=> 4 * side = 2(17 + 11)
=> 2 * side = 28
=> side of square = 14m
Area of square = side * side
=> Area of square = 14 * 14 = 196m^2
Hope it helps!
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