The area of a trapezium with height 14 cm is 525 cm ^ 2 . If the parallel sides are in the ratio 2 :3 , find their lengths. 20 cm and 30 cm 24 cm and 36 cm 30 cm and 45 cm 32 cm and 48 cm
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Answer:
30 cm, 45 cm.
Step-by-step explanation:
Let the measure of parallel sides be = 2x and 3x
Area of the trapezium= 525 cm²
Height of the trapezium= 14cm
Area of trapezium= ½ (sum of parallel sides)height
525= ½ (2x+3x) 14
525×2= (5x)14
1050/14 = 5x
75/5 = x
15=x
sides:
2x= 2(15) = 30 cm
3x= 3(15) = 45 cm
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