Question

The perimeter of a trapezium is 104m , its non parallel sides are 18m and 22m, and its altitude is 16m . Find the area of trapezium

Answer 1

Step-by-step explanation:

• GIVEN:perimeter of trapezium is 104
• non parallel sides are 18m and 22m
• height is 16m

LET'S TAKE THE PARALLEL SIDE OF X AND Y

PERIMETER of trapezium : X+Y+18+22

104=X+Y+40

104-40=X+Y

64m=X+Y

NOW;;

AREA OF TRAPEZIUM

1/2 (non parallel side)* height

1/2 (64)*16

=) 512m^2

THUS THE AREA OF TRAPEZIUM IS 512m^2......

Answer 2

$\huge\mathbb{SOLUTION:-}$

Given :-

• The non parallel sides of trapezium which is 18m and 22m

• The altitude of trapezium 16cm

• The perimeter=104m

$\tt Area\:of\: trapezium=\frac{1}{2}\times (sum\:of\: parallel\:side)\times height$

• So we have to find the sum parallel sides of trapezium

$\bf\underline{According\:to\: Question:-}$

Perimeter of trapezium =sum of all sides

• let the parallel sides be m and n

Now :-

=>104=18+22+m+n

=> 104= 40+m+n

=> m+n=104-40

=> m+n= 64

• The sum of the parallel sides of trapezium is 64

•So find the area if trapezium

$\sf\rightarrow Area\:of\: trapezium=\frac{1}{2}\times 64\times 16\\ \\ \sf\rightarrow Area\:of\:trapezium= \cancel{\frac{1024}{2}}=512\\ \\ \sf\implies Area\:of\: trapezium=512m{}^{2}$

$\mathfrak{Area\:of\: trapezium=512m{}^{2}}$

#BAL

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