a squre and a rectangular have equal perimeters . the side of the squre is 60m and length of the rectangel is thrice its breadth which shape has greater area and by how much ?
Answers
Answer:
The Area of Square is greater than the Area of Rectangle by 900m².
Step-by-step explanation:
It is stated that Perimeter of Square = Perimeter of Rectangle.
Perimeter of Square = S x 4
= 60 x 4
= 240m
So, the perimeter of the rectangle is also 240m
Finding the Length and the Breadth:
Let the breadth be 'x'.
So, the length will be 3 times breadth or 3x.
Perimeter of Rectangle = 2 (l + b)
240 = 2 (3x + x)
240 = 2 x 4x
240 = 8x
240/8 = x
30m = x (Breadth)
90m = 3x (Length)
Finding the Figure with the Greater Area:
Area of Square = S x S
= 60 x 60
= 3600m²
Area of Rectangle = l x b
= 30 x 90
= 2700m²
Therefore, the Area of Square is greater than the Area of Rectangle by 900m².
Hope this helps...