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

Question

Mathematics

Casper

30 October, 15:40

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

+3

Answers (2)

Know the Answer?

Bailey Calhoun · Answer 1

= 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%

Taffy · Answer 2

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 %