Question

0.19 - If two squares are similar but not equal and the diagonal of
larger square is 8 m. What is the area of smaller square if it area is 1/2
of larger square
A - 4m
B - 16 m
C- 24 m
D- 32 m​

Answer 1

$Area \: of \: Larger \: square = \frac{1}{2} × {d}^{2} \\ = \frac{1}{2} \times 8 ^{2} = 32m ^{2} \\ </p><p>Area \: of \: smaller \: square \: = \frac{1}{2} Area \: of \: Larger \: square \\ Area \: of \: smaller \: square = \frac{1}{2 } \times 32m ^{2} = 16m ^{2}$

Option ( B) 16m²