Question

The ratio of the length of the parallel sides of a trapezium is $5:3$ and the distance between them is $16cm$. If the area of the trapezium is $960c{m}^2$, find the length of the parallel sides.

• A. $45cm$ and $65cm$
• B. $35cm$ and $75cm$
• C. $45cm$ and $75cm$
• D. $55cm$ and $75cm$

Answer 1

The correct option is C $45cm$ and $75cm$

Let the sides be $5x$ and $3x$

Given

$h=16cm$

$A=960c{m}^2$

Now, Area is given as

$960=\frac{1}{2}\times 16\times (5x+3x)$

$960=8\times 8x$

$64x=960$

$x=15$

$5x=5\times 15=75$

$3x=3\times 15=45$

Therefore, the parallel sides are 45 cm and 75 cm.