Question : The ratio of the sides of a triangle is 11 : 11 : 4. If the area of the triangle is $2\sqrt{117}$ cm, then what is the length of the equal sides?

Option 1: 3 cm

Option 2: 13 cm

Option 3: 11 cm

Option 4: 9 cm

Question : The sides of a triangle are 6 cm, 8 cm, and 10 cm. What is the area of the triangle?

Option 1: 20 cm²

Option 2: 28 cm²

Option 3: 24 cm²

Option 4: 16 cm²

Question : The ratio of the length of parallel sides of a trapezium is 3 : 2. The shortest distance between them is 15 cm. If the area of the trapezium is 450 cm², the sum of the length of parallel sides is:

Option 1: 15 cm

Option 2: 36 cm

Option 3: 42 cm

Option 4: 60 cm

Question : The length of each side of a rhombus is 10 cm. If the length of one of its diagonals is 16 cm, then what is the area of the rhombus?

Option 1: 108 cm²

Option 2: 112 cm²

Option 3: 128 cm²

Option 4: 96 cm²

Question : The longest side of the obtuse triangle is 7 cm and the other two sides of the triangle are 4 cm and 5 cm. Find the area of the triangle.

Option 1: $1 \sqrt{3} \mathrm{~cm}^2$

Option 2: $6 \sqrt{3} \mathrm{~cm}^2$

Option 3: $3 \sqrt{2} \mathrm{~cm}^2$

Option 4: $4 \sqrt{6} \mathrm{~cm}^2$