Answer:
Width is 4 inches, Length is 6 inches
Step-by-step explanation:
Let us set a variables, l for length, and w for width. Now, we can write two expressions with the given information:
1. The length, l, and one quarter of the width, w, add up to 7in. Therefore,:
l+0.25w=7
2. The length, l, and the width, w, add up to 10in. Therefore,:
l+w=10
Let us now subtract the first equation from the second to find the variable, w. When we do this, we should make sure that we are subtracting on both sides:
[tex]l+w-(l+0.25w)=10-7\\l+w-l-0.25w=3\\0.75w=3\\w= 4[/tex]
Now, let us substitute this 4 into w of the equation to obtain l:
l+w=10
l+4=10
l=6
Therefore, the width of the rectangle is 4 inches and the length of the rectangle is 6 inches.
I hope this helps! Please let me know if you have any further questions :)
