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25 July, 15:34

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?

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  1. 25 July, 15:35
    0
    = 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%
  2. 25 July, 15:59
    0
    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 %
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