A rectangular garden measures 15 m long and 13.70 m wide.What is the length of a diagonal from one corner of the garden to the other? A)18 m B)19 m C)20 m D)4.1 × 10² m

Question

Quizplus · Accepted Answer

We can use the Pythagorean theorem to find the length of the diagonal. The diagonal will form the hypotenuse of a right triangle with the length and width of the garden forming the other two sides.

Using the Pythagorean theorem:

a^2 + b^2 = c^2

Where a and b are the length and width of the garden, and c is the length of the diagonal.

15^2 + 13.70^2 = c^2

225 + 187.69 = c^2

412.69 = c^2

c ≈ 20

Therefore, the length of the diagonal is approximately 20 meters.

The closest answer choice is C, which is 20 meters.

A Rectangular Garden Measures 15 M Long and 13