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?

Answer 1

The new width of the rectangle is 144 inches.

Step-by-step 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.

Answer 2

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

`(x)/(2) = (24)/(12)`

⇒ x = 4 inches. (Answer)