Answer:
Width is 4 inches, Length is 6 inches
Step-by-step explanation:
Let us set a variables, <em>l</em> for length, and <em>w</em> for width. Now, we can write two <u>expressions</u> with the given information:
1. The length, <em>l</em>, and one quarter of the width, <em>w</em>, add up to 7in. Therefore,:
<em>l</em>+0.25<em>w</em>=7
2. The length, <em>l</em>, and the width, <em>w</em>, add up to 10in. Therefore,:
<em>l</em>+<em>w</em>=10
Let us now <u>subtract</u> the first equation from the second to find the variable, <em>w. </em>When we do this, we should make sure that we are subtracting on both sides:
Now, let us <u>substitute</u> this 4 into <em>w</em> of the equation to obtain <em>l:</em>
<em>l</em>+<em>w</em>=10
<em>l</em>+4=10
<em>l</em>=6
Therefore, the width of the rectangle is 4 inches and the length of the rectangle is 6 inches.
<em>I hope this helps! Please let me know if you have any further questions :)</em>