If entering your answer as a decimal, round your final answer to the nearest hundredth. Find the perimeter of rectangle LINT.

Step-by-step explanation:

Given:

See attachment for rectangle LINT

Required

Calculate its perimeter

From the attachment:

Considering triangle LYT, we apply Pythagoras theorem.

Where:

The formula becomes:

Take positive square root of both sides

Next, we calculate the length of NT.

By comparing triangles LYT and NYT

We make use of the following equivalent ratios to solve for NT

Convert to fractions

Make NT, the subject:

The perimeter (P) is then calculated as:

Where

and -- opposite sides of rectangle.

So:

Substitute values for NT and LT

Hence, the perimeter is 22.75 units

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