Question

A rectangular field has a diagonal of 360 feet. One of the side of the field is 160 feet long. What is the perimeter of the field? Enter your answer, rounded to the nearest hundredth, in the box.

Answer 1

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

Answer 2

Perimeter of rectangle rounded to the nearest hundredth is 964.98 feet.

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√
`d^(2) -l^(2)`.

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√
`360^(2) -160^(2)`.

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.