A line of roses forms the diagonal of a rectangular flower garden. Th e line of roses is 18.4 m long, and one side of the garden is 13 m long. To the nearest tenth of a meter, what is the length of a perpendicular side of the garden?

Given that the garden is rectangular and a line of roses form the diagonal 18.4 m long, we required to calculate the length of the perpendicular side.

Here we shall use the Pythagorean theorem.

c²=a²+b²

where c is the hypotenuse, a and b are the legs.

from the information given:

c=18.4 m

a=13 m

plugging this into our expression we get:

18.4²=13²+b²

next we solve for the value of b

b²=18.4²-13²

b²=338.56-169

b²=169.56

b=√169.56

b=13.0215

hence the length to the nearest tenth of a meter will be approximately 13.0 m