GEOMETRY 7TH GRADE
You asked • 7m
I need to understand this given statement in more depth. Please help.
Two rectangles with a length to width ratio of 1 to 4.
The rectangle could have
length of 1 foot; width of 4 feet
or
length of 2 feet; width of 8 feet
or
length of 3 feet; width of 12 feet
or
length of 4 feet; width of 16 feet
etc.
The width is four times the length.
Thank you Ms. Sue
You are welcome, Sara.
To understand the given statement about two rectangles with a length to width ratio of 1 to 4, let's break it down step by step.
1. Rectangles: A rectangle is a four-sided polygon with opposite sides that are equal in length and opposite angles that are equal. It has four right angles (90 degrees each).
2. Length: The length of a rectangle refers to the longer side or the vertical side of a rectangle. It is usually represented by the letter 'l'.
3. Width: The width of a rectangle refers to the shorter side or the horizontal side of a rectangle. It is usually represented by the letter 'w'.
4. Ratio: A ratio is a comparison of two quantities. In this case, the given ratio is 1 to 4, which means that the length is to the width as 1 is to 4.
To understand this ratio visually, you can imagine the length of the rectangle being divided into four equal parts. Each part represents the width of the rectangle. So, for every one part of length, there are four parts of width.
By understanding the given statement, you can now visualize the two rectangles where one rectangle has a length that is one unit and a width that is four units, and the other rectangle has a length that is two units (double the length of the first rectangle) and a width that is eight units (double the width of the first rectangle).
This ratio helps establish the relationship between the length and width of the rectangles, enabling you to visualize and compare their dimensions.