Question : The perimeter of an equilateral triangle is 48 cm. Find its area (in cm²).

Option 1: $81\sqrt{3}$

Option 2: $8\sqrt{3}$

Option 3: $25\sqrt{3}$

Option 4: $64\sqrt{3}$

Question : Let A, B, and C be the mid-points of sides PQ, QR, and PR, respectively, of PQR. If the area of $\triangle$ PQR is 32 cm², then find the area of $\triangle$ ABC.

Option 1: 24 cm²

Option 2: 16 cm²

Option 3: 32 cm²

Option 4: 8 cm²

Question : The centroid of a $\triangle ABC$ is G. The area of $\triangle ABC$ is 60 cm². The area of $\triangle GBC$ is:

Option 1: 10 cm²

Option 2: 30 cm²

Option 3: 40 cm²

Option 4: 20 cm²

Question : If the side of an equilateral triangle is 8 cm, then find the area of the triangle (correct to two decimal places).

Option 1: 27.17 cm²

Option 2: 27.27 cm²

Option 3: 27.71 cm²

Option 4: 27.72 cm²

Question : If $\triangle A B C \sim \triangle D E F$, and $B C=4 \mathrm{~cm}, E F=5 \mathrm{~cm}$ and the area of triangle $A B C=80 \mathrm{~cm}^2$, then the area of the $\triangle DEF$ is:

Option 1: 169 cm²

Option 2: 80 cm²

Option 3: 144 cm²

Option 4: 125 cm²