Question

If each side of a square is increased by 10%,then by what percent is the area increased

Answer 1

t increased by 10%means10/100=1/10
area =side sq
$\sqrt[]{area \: } = side$
if side is increase by 10/100
so area will be increased by
$\sqrt[?]{area = \: \ \: \: 1 0\ \div \:100 div }$
area will incresed root by 10/100

Answer 2

$one \: side \: of \: the \: smaller \: square = x \\ one \: side \: of \: the \: larger \: square \\ = \frac{x \times 110}{100}$

$perimeter \: of \: smaller = 4x \\ perimeter \: of \: larger = 4 \times \frac{11x}{10} = \frac{44x}{10}$

$increase = \frac{44x}{10} - 4x = \frac{4}{10} x \\ percentage = \frac{4x \times 100}{10 \times 4x} = 10 \: percentage$