The area of trapezium is 91 CM square and height is 7 CM. if one of the parallel side is longer than other by 8cm. Find its two parallel sides.
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akriti1156:
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LET THE TWO PARALLEL SIDES BE x AND x+8
AREA OF TRAPEZIUM = 1/2 × SUM OF PARALLEL SIDES × HEIGHT
91 = 1/2×(x+x+8)×7
91=1/2×(2x+8)×7
91/7= 1/2×2x+8
13=1/2×2x+8
13×2=2x+8
26=2x+8
26-8=2x
18=2x
18/2=x
9=x
THE TWO PARALLEL SIDES ARE 9 AND 17
HOPE YOU UNDERSTAND AND IT HELPS YOU
LET THE TWO PARALLEL SIDES BE x AND x+8
AREA OF TRAPEZIUM = 1/2 × SUM OF PARALLEL SIDES × HEIGHT
91 = 1/2×(x+x+8)×7
91=1/2×(2x+8)×7
91/7= 1/2×2x+8
13=1/2×2x+8
13×2=2x+8
26=2x+8
26-8=2x
18=2x
18/2=x
9=x
THE TWO PARALLEL SIDES ARE 9 AND 17
HOPE YOU UNDERSTAND AND IT HELPS YOU
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