The area for trapezium is 405 centimetres square and the ratio of para

1.	The area for trapezium is 405 centimetres square and the ratio of parallel sides is 4:5 and height is 18 centimetres find the actual length of the parallel sides.No spam✔
Answer» Given: Area of the trapezium = 405cm² ratio of PARALLEL sides = 4:5 height of the trapezium = 18cm To Find: Actual LENGTH of the parallel sides Solution: Let the parallel side be 4X and 5x respectively height = 18cm the area of trapezium = 405cm² ⠀⠀⟹ $\frac{<klux>1</klux>}{2} h(a + b) = 405$ ⠀⠀⟹ $\frac{1}{2} \times 18 \times (4x + 5x) = 405$ ⠀⠀⟹ $9 \times 9x = 405⟹9×9x=405$ ⠀⠀⟹ $81x = 405⟹81x=405$ $\: x = \frac{405}{81} = 5$ ➞actual Length of parallel side 1 = 4 × 5 ${\boxed{\sf{\red{=\:20\:cm}}}}$ ➞actual Length of parallel side 2 = 5 × 5 ${\boxed{\sf{\red{=\:25\:cm}}}}$