if you increase the length and width of a rectangle by 50%. Find the ratio of it's new area to original area
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Answered by
1
LET THE ORIGINAL LENGTH BE L
AND
ORIGINAL BREATH BE B.
ORIGINAL AREA = LB
LENGTH INCREASED BY 50% = 150 L / 100
BREATH INCREASED BY 20% = 120 B / 100
INCREASED AREA = 150 L X 120 B / 100 X 100
= 18000 LB / 10000
= 1.8 LB
NOW,
1.8 LB / LB = 1.8
CHANGING 1.8 INTO FRACTION.
1.8 = 18/10 = 9/5
SO,
THE INCREASED AREA WILL BE 9/5 TIMES OF THE ORIGINAL AREA.
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khushi1209:
But the answer is 9 is to 4
Answered by
1
previous area a = L* B ((equation 1)
new Length = 1.5 L
( L + 50% of L or L + 0.5L)
new Breadth = 1.5 B
New Area A = 1.5 L * 1.5 B (equation 2)
by dividing equation 1 by 2
A/a = 1.5 * 1.5 * L * B / (L * B)
A/a = 2.25
A /a= 225/100
ratio = 9/4
answer is 9/4 ..
mark as brainliest plz
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