If each side of a rectangle is increased by 50% then its area will be increased by
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Answered by
18
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Let the length of rectangle be x
Let the breadth of rectangle be y
We know that
Area of recatngle=l×b
so, area of rectangle = x×y=xy
According to the question
New length of rectangle = 50x/100+x=3x/2
New breadth of rectangle = 50y/100+y=3y/2
New Area of rectangle = 3x/2×3y/2=9xy/4
% Increase in area= New area-Original area/Original area×100
=9xy/4-xy÷xy×100
=5xy/4÷xy×100
=5/4×100
=5×25
=125%
Hope it helps!
Thankyou ☆ ☆
Let the length of rectangle be x
Let the breadth of rectangle be y
We know that
Area of recatngle=l×b
so, area of rectangle = x×y=xy
According to the question
New length of rectangle = 50x/100+x=3x/2
New breadth of rectangle = 50y/100+y=3y/2
New Area of rectangle = 3x/2×3y/2=9xy/4
% Increase in area= New area-Original area/Original area×100
=9xy/4-xy÷xy×100
=5xy/4÷xy×100
=5/4×100
=5×25
=125%
Hope it helps!
Thankyou ☆ ☆
Answered by
1
Answer:125%
Step-by-step explanation:Area(l+b)
Increased area 50%
Then,
50+50+50*50/100=125%
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