the. area of a trapezium is the area of trapezium is 720 CM square the ratio of the parallel side is 2 ratio 1 if the distance between the parallel side 20 cm find the length of the parallel side
Answers
Step-by-step explanation:
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Answer:
The lengths of the parallel sides of the trapezium are 24 cm and 48 cm.
Step-by-step-explanation:
We have given that,
The ratio of the parallel sides of a trapezium is 2 : 1.
Let the common multiple be x.
∴ Longer side = 2x cm
Shorter side = 1x = x cm
We have given that,
Area of trapezium = 720 cm²
Distance between the parallel sides ( h ) = 20 cm
Now, we know that,
Area of trapezium = ( Sum of lengths of parallel sides ) * h / 2
⇒ 720 = ( 2x + x ) * 20 / 2
⇒ 720 = 3x * 10
⇒ 3x = 720 ÷ 10
⇒ 3x = 72
⇒ x = 72 ÷ 3
⇒ x = 24
Now,
Longer side = 2x
⇒ Longer side = 2 * 24
∴ Longer side = 48 cm
Now,
Shorter side = x
⇒ Shorter side = 24 cm
∴ The lengths of the parallel sides of the trapezium are 24 cm and 48 cm.