Question

If the length of parallel sides of a trapezium is in the ratio of 5:3 and the distance between them is 16 cm and if it is area is 800 sq.cm. Find the length of parallel sides?

Answer 1

Dear Student,

$$\begin{gathered} Letthesidesbe5xand3x. \\ Given,height=16cm \\ Area=800c{m}^2 \\ 800=\frac{1}{2}\times 16\times (5x+3x) \\ 800=8\times 8x \\ 64x=800 \\ x=\frac{800}{64} \\ x=12.5 \\ Thelengthofparallelsidesare\mathbf{37}\mathbf{.}\mathbf{5}\mathbf{}\mathit{a}\mathit{n}\mathit{d}\mathbf{}\mathbf{62}\mathbf{.}\mathbf{5} \end{gathered}$$

Regards