perimeter of a square and the perimeter of the rectangle is same . if a side of the square is 15 cm and one side of the rectangle is 18cm find the area of the rectangle
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Answered by
8
Answer:
216 cm²
Step-by-step explanation:
Let the perimeter of the square and that of the rectangle be 'x' cm each.
Now, we know that the one side of the square = 15 cm
Also, Perimeter of square = 4a, where 'a' is the side of square
=> x = 4 * 15 = 60 cm
Perimeter of rectangle = Perimeter of square = 60 cm
=> Perimeter of rectangle = 60 cm
=> 2 ( l + b) = 60 cm
=> 2 ( 18 + b ) = 60 cm
=> 18 + b = 30 cm
=> b = 12 cm
Now, area of rectangle = l * b = 18 * 12 = 216 cm²
Answered by
1
Step-by-step explanation:
perimeter of square =4×15=60
perimeter of rectangle =60
- 60=2(18+x)
- 60/2=18+x
- 30-18=x
- x=12cm
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