4.
Perimeter of a square and rectangle is same. If a side of the square is 15 cm and one side of a recta
18 cm. Find the area of rectangle.
Answers
GIVEN :
Perimeter of a Square and Rectangle is same.
Side of the square = 15cm
One of the dimension of Rectangle = 18cm
Let other dimension be x
Perimeter of the Rectangle = ?
Perimeter of Square :
= 4 × S
= 4 × 15
= 60cm
Perimeter of Rectangle = 2 [length+breadth] = 60 [ As perimeter of square and Rectangle is same ]
2 [ 18 + x ] = 60
2[18 + x] = 60
[18 + x] = 60/2
x = 30 - 18
x = 12
So, we have two dimensions of Rectangle.
Then,
Area of Rectangle :
= [ Length × Breadth ]
= [ 18 × 12 ]
= 216 cm²
Therefore, the area of Rectangle is 216cm².
Step-by-step explanation:
Let one dimension of rectangle be x
perimeter of rectangle = perimeter of square
perimeter of square =4*side
=4*15
=60cm
perimeter of rectangle = 2(l+b)
=2(18+b)
60=36+2b
60-36=2b
24 =2b
b=12cm
area of rectangle = 18*12
= 216 sq.cm
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