Answer:
8.06 inches
Step-by-step explanation:
The diagram shows a rectangle with width of 4 inches and area of 28 square inches.
Use area formula:
[tex]A_{\text{rectangle}}=\text{Width}\times \text{Length}[/tex]
So,
[tex]28=4\times \text{Length}\Rightarrow \text{Length}=\dfrac{28}{4}=7\ \text{inches}[/tex]
By the Pythagorean theorem,
[tex]\text{Diagonal}^2=\text{Width}^2+\text{Length}^2\\ \\\text{Diagonal}^2=4^2+7^2\\ \\\text{Diagonal}^2=16+49\\ \\\text{Diagonal}^2=65\\ \\\text{Diagonal}=\sqrt{65}\approx 8.06\ \text{inches}[/tex]
