Question

which of the following has a larger area and by how much a rectangle of length 24 cm and breadth 17 cm or a square of side 21cm

Answer 1

The square, and by $33cm^{2}$.

Area of Rectangle = 24cm x 17cm = $408cm^{2}$

Area of Square = 21cm x 21cm = $441cm^{2}$

The square has a larger area.

$441cm^{2} - 408cm^{2} = 33cm^{2}$.

The square's area is $33cm^{2}$ larger than the rectangle's area.

Answer 2

$area \: of \: a \: rectangle = breadth \times length$
$= 24 \times 17$
$= 408$
$area \: of \: a \: square = side \times side$
$= 21 \times 21$
$= 441$
$therefore \: the \: area \: of \: the \: square \: is \: larger \: than \: the \: area \: of \: rectangle \: by.$
$= 441 - 408$
$= 33 \: square \: centimeters$