Question : The perimeter of an equilateral triangle is 40 cm more than the length of each of its sides. What is the length of each side of this equilateral triangle?

Option 1: 10 cm

Option 2: 30 cm

Option 3: 15 cm

Option 4: 20 cm

Question : The ratio of the sides of a triangle is 3 : 3 : 4. If the area of a triangle is $32 \sqrt{5}$ cm², then what is the length of the equal sides?

Option 1: 12 cm

Option 2: 16 cm

Option 3: 10 cm

Option 4: 15 cm

Question : In an isosceles triangle, if the ratio of the equal side and unequal side is 5 : 7 and its perimeter is 34 cm, then what is the length of the equal side?

Option 1: 14 cm

Option 2: 18 cm

Option 3: 10 cm

Option 4: 34 cm

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

Option 1: 15 cm

Option 2: 36 cm

Option 3: 42 cm

Option 4: 60 cm