Question

A drawing sheet is in shape of trapezoid. The length of its parallel sides are 60 cm and 40 cm repectively. Find the length between its parallel sides if the area of the sheet is $3350$ sq. cm

• A. 65 units
• B. 66 units
• C. 67 units
• D. 68 units

Answer 1

The correct option is C 67 units

Lets draw a trapezoid ABCD of the given dimensions.Concept: height of the trapezoid is the distance between its parallel sides

Given,
$BC=60\text{cm}$
$AD=40\text{cm}$
Let the height of parallelogram be $x\text{cm}$.
AD is parallel to BC

As we know,
Area of a trapezoid $=\frac{1}{2}\times$ (sum of the parallel sides)$\times h$

$3350=\frac{1}{2}\times (BC+AD)\times DE$

$3350=\frac{1}{2}\times (60+40)\times x$

$3350\times 2=(60+40)\times x$

$6700=100x$

$x=67$ units

Option (c) is correct.