Question

5 One of the parallel sides of a trapezium is double the other and its height is 24 cm. If area of
the trapezium is 360 cm?, find the length of the parallel sides.
​

Answer 1

Final Answer :

️ Length of the parallel sides is 10 cm and 20 cm.

❥ Question :

One of the parallel sides of a trapezium is double the other and its height is 24 cm. If area of the trapezium is 360 cm?, find the length of the parallel sides.

❥ Answer :

$\sf\pink{Given:}$

• Height of the Trapezium = 24 cm.

• Area of the Trapezium = 360 cm²

• one of the parallel side is double the other .

$\sf\pink{To\:Find:}$

• Measure of the parallel sides = ?

Explanation :

• Let the other side be x

• Therefore the first side is double of the other side that is 2x .

$\sf\purple{Area\:of\: Trapezium= ½ ( sum\:of\:parallel\:sides) × height }$

$\longrightarrow\sf{360 = ½ ( x+2x) × 24 }$

$\longrightarrow\sf{360 = ½ × 3x × 24}$

$\longrightarrow\sf{360 = 3x × 12 }$

$\longrightarrow\sf{360/12 = 3x }$

$\longrightarrow\sf{30 = 3x }$

$\longrightarrow\sf{x = 30/3}$

$\longrightarrow\sf\orange{x = 10 cm}$

• Therefore length of other parallel side = 10 cm

• Therefore length of first parallel side = 2x

➡️ 2 × 10 cm

➡️ 20 cm.

• Therefore 10 cm and 20 cm are the measures of parallel sides of the Trapezium .

@MissOxford