Question

For some reason it says square but please help! I need to know step by step what to do.

<3
Find the diagonal distance across this rectangle.

Answer 1

8.06 inches

Explanation:

The diagram shows a rectangle with width of 4 inches and area of 28 square inches.

Use area formula:

`A_{\text{rectangle}}=\text{Width}* \text{Length}`

So,

`28=4* \text{Length}\Rightarrow \text{Length}=(28)/(4)=7\ \text{inches}`

By the Pythagorean theorem,

`\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}=√(65)\approx 8.06\ \text{inches}`