Question

two plots of land have the same perimeter. one is a square of side 64 and the other a rectangle with length 80 cm .which floor has a great area and by how much​

Answer 1

Answer:

 Perimeter of square=4×Side

$\bf \: = 4 \times 64 = 256cm$

• Perimeter of rectangle =Perimeter of square

$\sf = 2(length +breadth) = 256$

$\sf \implies2 \times (80 \times breadth ) = 256$

$\sf \implies \: breadth = 48cm$

Area of square=side×side

$\sf = 64 \times 64 = 4096 {cm}^{2}$

Area of rectangle =length ×Breadth

$\sf = \: 80 \times 48 = 3840 {cm}^{2}$

Area of square is greater then rectangle.

Answer 2

Perimeter of square = 4 × Side

= 4 × 64 = 256cm.

Perimeter of rectangle = Perimeter of square

= 2( length + breadth ) = 256

2 × ( 80× breadth ) = 256

breadth =48cm.

Area of square= S × S

= 64 × 64 = 4096cm²

Area of rectangle = length × Breadth

= 80 × 48 = 3840cm²

Area of square is greater than rectangle.

hope it helps you....