Question

Find the area of a trapezium-shaped window if the lengths of the parallel sides are 47 cm and 69 cm and the perpendicular distance between them is 23cm​

Answer 1

Answer:

Step-by-step explanation:

Area of Trapezium = (h/2)(a+b)

where h is the perpendicular distance between two parallel sides

and a and b are the lengths of the two parallel sides

Area = 1334 $cm^{2}$

Answer 2

$\mathfrak{ \pink{ \underline{ \blue{ \large{Correct \: Question: }}}}}$

Find the area of a trapezium-shaped window if the lengths of the parallel sides are 47 cm and 69 cm and the perpendicular distance between them is 23cm

$\mathfrak{ \pink{ \underline{ \blue{ \large{ Given:}}}}}$

• Parallel sides of trapezium = 47 cm and 69 cm
• Height of trapezium = 23 cm

$\mathfrak{ \pink{ \underline{ \blue{ \large{To \: Find: }}}}}$

• Area of trapezium

$\mathfrak{ \pink{ \underline{ \blue{ \large{ Solution: }}}}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\ \mathfrak{ \underline{ \green{Formula \: to \: calculate \: the \: area \: of \: trapezium \: }}}$

$\boxed{ \boxed{ \star \: \: \: \: \: \:{ \large { \red{ \mathfrak{area = \frac{sum \: of \: parallel \: sides}{2} \times height}}}}}}$

According to question,

$\large{ \sf \longmapsto \: \: \: \: \: \: \: \:\: \: {area = \frac{47+69}{2} \times 23}}$

$\large{ \sf \longmapsto \: \: \: \: \: \: \: \:\: \:area = \frac{116}{2} \times 23}$

$\large{ \sf \longmapsto \: \: \: \: \: \: \: \:\: \:area = 58 \times 23}$

$\large{ \sf \longmapsto \: \: \: \: \: \: \: \:\: \: \boxed{ \boxed{ \purple{ \mathfrak{area = 1334\: {cm}^{2} }}}}}$

$\mathfrak{ \pink{ \underline{ \blue{ \large{ Hence:}}}}}$

The area of trapezium is 1334 cm²