Question

two plots of land have same perimeter 1 is a square while the other is a rectangle of length 70m and breadth 56 M which has greater area and by how much

Answer 1

$perimeter \: of \: square \: = \: perimeter \: of \: rectangle \\ 4 \times side = \: 2 \times ( \: l \: + \: b \: ) \\ = 2 \times (70 + 56) \\ = 2 \times 126 \div 4 \\ = 256 \div 4 \\ side = 256 \\ side = 64cm$
area of rectangular plot = l × b
= 70 × 56
= 3920 cm ^2
area of square = side × side
= 64 × 64
=4096 cm ^2
here square plot has greater area by = 4096 - 3920
= 176 cm ^2