Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in. wide and 12 in tall?

Question

Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in. wide and 12 in tall?

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Gianna 1 week 2021-11-26T03:03:12+00:00 2 Answers 0

Answers ( )

    0
    2021-11-26T03:04:20+00:00

    Answer:  

    The new width of the rectangle is 144 inches.

    Explanation:

    Given:

    Original height of the rectangle= 24 inch

    Original width of the rectangle= 24 inch

    Shawna reduced the height by = 2 inch

    To find:

    New width of the rectangle=?

    Solution:

    We know that, even if dimensions change but the area remains constant.

    Then, old length x old width = new length x new width  

    12 inches x 24 inches = 2 inches x new width  

    12 x 24 = 2 x new width  

    12 x 12 = new width  

    new width = 144 inch

    Hence, the new width of the rectangle is 144 inches.

    0
    2021-11-26T03:05:01+00:00

    Answer:

    4 inches.

    Step-by-step explanation:

    The height of a rectangle is reduced by Shawna to a size of 2 inches.

    The original width of the rectangle was 24 inches and the height was 12 inches.

    If the ratio of width to height remains the same, then we can find the new width.

    If the new width is x inches then, we can write

    \frac{x}{2} = \frac{24}{12}

    ⇒ x = 4 inches. (Answer)

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