Question

I feel is in the form of a Trapezium its area is 1586 m square and the distance between its parallel sides is 26 m if one of the parallel sides 84 M find the other

Answer 1

area=1\2×(a+b)×h
=38 meter

Answer 2

Answer :-

• Measure of Second Side = 38 m

Given :-

• Area of Trapezium = 1586 m²
• Measure of One Side = 84 m
• Distance b/w Parallel Sides (Height) = 26 m

To Find :-

• Measure of Second Side = ?

Explanation :-

Let the Second Side of the Trapezium to be 'x' m

As we know,

$\blue { \boxed { \boxed { \bf : \implies \star \: Area \: of \: Trapezium = \dfrac{1}{2} \times Sum \: of \: Parallel \: Sides \times Height \: \star}}}$

Now Substituting the values,

$\sf : \: \longrightarrow \dfrac{1}{2} \times Sum \: of \: Parallel \: Sides \times Height = Area \: of \: Trapezium$

$\sf : \: \longrightarrow \dfrac{1}{2} \times (84 + x) \times 26 = 1586$

$\sf : \: \longrightarrow (84 + x) = \dfrac{1586 \times 2}{26}$

$\sf : \: \longrightarrow (84 + x) = 122$

$\sf : \: \longrightarrow x = 122 - 84$

$\red { \underline { \boxed { \sf : \: \longrightarrow x = 38 \: m }}}$

Hence, the Measure of the other Side of the Trapezium is 38 m.

@Agamsain