the area of trapezium is 352cm2. The distance between the parallel sides is 16cm. if one of the parallel sides is 25cm. find the others?
Answers
Answered by
83
Area=352 cm2
height=16 cm
one side (let it be 'a')=25 cm
let other side be 'b'
therefore, A=1/2 x (a+b) x h
352=(25+b)x16/2
352/8=25+b
44-25=b
19 cm=b
height=16 cm
one side (let it be 'a')=25 cm
let other side be 'b'
therefore, A=1/2 x (a+b) x h
352=(25+b)x16/2
352/8=25+b
44-25=b
19 cm=b
Answered by
23
Answer:
other parallel side = 19cm
Step-by-step explanation:
Let the measure of the parallel sde be x
Area of trapezium = 1/2 * distance between the parallel lines * (sum of parallel lines)
thus, 1/2 * 16 * (25 + x )= 352sq.cm
8 * 25+x = 352sq.cm
25+x = 352sq.cm/8
25 + x = 44cm
x = 44 - 25
= 19 cm
VERIFICATION:
1/2 * 16 * (25+19)
8*44
= 352sq.cm
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