Answer:
[tex]\dfrac{49}{6}[/tex]
Step-by-step explanation:
The area of a rectangle is defined as:
[tex]\rm Area = length \times width[/tex]
We are given the following two values:
- [tex]\rm length = 12[/tex]
- [tex]\rm Area = 98[/tex]
Plugging these into the area formula, we can solve for width:
[tex]\rm 98 = 12 \times width[/tex]
↓ dividing both sides by 12
[tex]\rm \dfrac{98}{12}=width[/tex]
↓ simplifying the fraction
[tex]\boxed{\rm width=\dfrac{49}{6}}[/tex]
Further Note
We can check our answer by calculating the area and seeing if it matches the given area:
[tex]\rm Area = 12 \times \dfrac{49}{6}[/tex]
[tex]= \dfrac{12}{6} \times 49[/tex]
[tex]= 2 \times 49[/tex]
[tex]= 98[/tex] ✅
