Question

The two parallel sides of a trapezium have lengths 4:3 and 6-1 cm. The area of the trapezium is 18-2 cm. Calculate its height.​

Answer 1

Step-by-step explanation:

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$Let the two parallel sides of the trapezium be a cm and b cm.$

$Then a−b=4⟶(1)$

Then

$21×(a+b)×19=475$

$⇒(a+b)= 19475×2$

$⇒a+b=50⟶(2)$

$a−b=4$

$a+b=50−2b=−54 b= 254 =27$

$Putting b=27 in (2) we get$

$a+27=50$

$a=50−27=23$

$Two parallel sides are 27 cm and 23 cm$.