Answer:
perimeter = 34 units
Step-by-step explanation:
The perimeter of the rectangle can be calculated as follows:
perimeter = 2(length + width)
We have the width given = 5 units
Now, we need to get the length first then calculate the perimeter.
Taking a look at the right-angled triangle, we can apply the Pythagorean theorem to get the length as follows:
(hypotenuse)² = (length)² + (width)²
(13)² = (length)² + (5)²
(length)² = (13)² - (5)² = 144
length = +√144 = 12 units
Now, in the rectangle, we have:
length = 12 units
width = 5 units
Therefore:
perimeter = 2(length+width)
perimeter = 2(12+5)
perimeter = 2(17
perimeter = 34 units
Hope this helps :)