Question

The perimeter of a rectangular pasture is 1,765 feet. If the width is 312 feet, how long is the pasture? (Estimate or truncate to 2 places after the decimal, if necessary)

a) 1,114.01 feet
b) 1,091.54 feet
c) 1,341.21 feet
d) 1,139.53 feet

Answer 1

The length of the rectangular pasture, given a width of 312 feet and a perimeter of 1,765 feet, is approximately 570.5 feet. None of the given options is answer.

Step-by-step explanation:

In determining the length of a rectangular pasture with a known width of 312 feet and a given perimeter of 1,765 feet, we employ the formula for the perimeter of a rectangle. The step-by-step calculation involves solving for the length, considering the provided width and perimeter values. The accurate result, rounded to two decimal places, reveals that the length of the pasture is approximately 570.5 feet.

The perimeter (P) of a rectangle is given by the formula:

P = 2 * (Length + Width).

Given the width (W) as 312 feet, the perimeter is 1,765 = 2 * (Length + 312).

Solve for the length (L):

Length + 312 = 1,765 / 2

Length + 312 = 882.5

Length = 882.5 - 312

Length = 570.5

Therefore, the length of the pasture is approximately 570.5 feet, rounding to two decimal places.

None of the given options is answer.