Respuesta :
We need to calculate the other triangle side.
Using the Pythagorean Theorem,
3rd side^2 = 360^2 -160^2
3rd side^2 = 129,600 - 25,600
3rd side^2 = 104,000
3rd side = 322.49
Perimeter = 2 * (160 + 322.49)
Perimeter = 964.98 feet
Using the Pythagorean Theorem,
3rd side^2 = 360^2 -160^2
3rd side^2 = 129,600 - 25,600
3rd side^2 = 104,000
3rd side = 322.49
Perimeter = 2 * (160 + 322.49)
Perimeter = 964.98 feet
Answer:
Perimeter of rectangle rounded to the nearest hundredth is 964.98 feet.
Step-by-step explanation:
Given : A rectangular field has a diagonal of 360 feet. One of the side of the field is 160 feet long.
To find : What is the perimeter of the field? Enter your answer, rounded to the nearest hundredth, in the box.
Formula used : perimeter = 2* length + 2√[tex]d^{2} -l^{2}[/tex].
Solution : We have diagonal of 360 feet and length = 60 feet .
plugging all the values of d and , l in formula .
perimeter = 2* 160 + 2√[tex]360^{2} -160^{2}[/tex].
perimeter = 320 + 2√[129600 -25600].
perimeter = 964.98 feet = nearest hundredth = 964.98 feet.
Therefore, Perimeter of rectangle rounded to the nearest hundredth is 964.98 feet.