Question

if the length and breadth of the rectangular plot are increased by 50% and 20% respectively then you area will be how many times that of the original area

Answer 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.

PLZ MARK IT AS BRAINLIEST ANSWER AND DROP A ♥

Answer 2

Let the length of rectangle be x
and breadth be y

So Area= length×breadth

= x×y

According to The question

length = x+x×50%/100= x+1/2x=3x/2
breadth= y+y×20%/100=y+1/5y= 6y/5

New Area= 3x/2 × 6y/5

Compare both the areas

New Area= Original Area

9xy/5= xy

9xy=5xy

9xy/5xy=9/5

9/5 times area would be increase