Question

The perimeter of square is equal to the perimeter of rectangle whose length is 48 meters, which is three times of its breadth. find out the area of square in m².​

Answer 1

Answer:

1024 m²

Step-by-step explanation:

Here, let the length of the rectangle be l and breadth be b.

Then, l = 3b. But, l = 48 m

Thus, b = 48/3 = 16 m

So, perimeter of rectangle = 2(l+b) = 2(48+16) = 2(64) = 128 m

But, perimeter of rectangle = perimeter of square.

Formula to calculate perimeter of square = 4*(side)

Thus, side of square = 128/4 = 32 m

Thus, area of square = (side)*(side) = 32*32 = 1024 m²