The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. By what percent would th

Question

2 years ago

12

e area of the rectangle change if the width of the rectangle is increased by 50% and the length is increased by the same number of units?

2 answers:

Anastaziya [24] · Answer 1 · 2022-07-24T10:27:45+03:00

Answer:

= 200%

Step-by-step explanation:

Answer:

200%

Step-by-step explanation:

Length and breadth is in the ratio 2:3

Then, let length = 2x and breadth = 3x

Area of rectangle = l×b = 2x×3x = 6

Now if breadth is increased by 50% ,

our new breadth will be = 3x + 50%(3x)

= 4.5x

And length is increased by same number of units, length = 2x+ 2x = 4x

New area = l×b = 4.5x × 4x

= 18

Percentage change in area = ×1000

= ×100

= 200%

Julli [10] · Answer 2 · 2022-07-24T12:57:27+03:00

Answer:

Step-by-step explanation:

Let L & B be the original length & width of the rectangle then its area is

A0=LB

Now, the length & width both are increased by 50 % then new length & width become 1.5L & 1.5B then new area of rectangle

A1=1.5L×1.5B=2.25LB

Now, the percentage increase in the area of rectangle

=A1−A0A0×100 %

=2.25LB−LBLB×100 %

=125 %