Question

A rectangular plot measure 16 metre by 9 metre find the side of the square whose area is equals the area of the rectangular plot by how much does the perimeter of the rectangular plot exceeds the perimeter of the square plot

Answer 1

The perimeter of the rectangular plot exceeds the square by 14 m.

• The rectangular plot is given as 16 by 9 metres.
• Area of the rectangle will be length × breadth.

Area = 16 × 9 = 144 sq m.

• Now we have to find the area of the square whose area is equal to the area of the rectangle.

Area of square = 144 sq m.

• Calculating side of square using the area,

s × s = 144 sq m.

s² = 144

s = 12 m

• Side of the square is 12 m.
• Now we have to calculate by how much does the perimeter of the rectangular plot exceeds the square.
• Perimeter of the rectangular plot = 2×16 + 2×9 = 32 + 18 = 50 m.
• Perimeter of the square = 4 × 12 = 36 m.
• Difference between the perimeters = 50 - 36 = 14 m.
• The perimeter of the rectangle exceeds the square by 14 m.

Answer 2

Answer:

Step-by-step explanation: here you answer