Solve the problem.
-A rectangular city park has a jogging loop that goes along a length, width, and diagonal of the park. To thenearest yard, find the length of the jogging loop, if the length of the park is 125 yards and its width is 75yards.
A)346 yards
B)146 yards
C)345 yards
D)145 yards

Question

Quizplus · Accepted Answer

The diagonal of a rectangle is the hypotenuse of a right triangle with legs equal to the length and width of the rectangle. Using the Pythagorean Theorem, we have:diagonal^2 = length^2 + width^2diagonal^2 = 125^2 + 75^2diagonal^2 = 22,500diagonal = sqrt(22,500)diagonal = 150 yardsThe jogging loop is the sum of the length, width, and diagonal of the park:jogging loop = length + width + diagonaljogging loop = 125 yards + 75 yards + 150 yardsjogging loop = 346 yards

Solve the Problem. -A Rectangular City Park Has a Jogging Loop That Goes