Question

Sara has a rectangular garden in her backyard that measures 12 m by 15 m. She wants to put a rock walkway on the diagonal. How long will the walkway be? Round to the nearest tenth of a meter

Answer 1

19.2 m

Explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

12^2 + 15^2 = c^2

144 + 225 = c^2

369 = c^2

Taking the square root of each side

sqrt(369) =sqrt(c^2)

19.20937271=c

To the nearest tenth

19.2 = c

Answer 2

Diagonal of rectangle walk = 19.2 meter (Approx.)

Explanation:

Given:

Length of rectangle = 12 meter

Width of rectangle = 15 meter

Find:

Diagonal of rectangle walk

Computation:

Diagonal of rectangle = √l² + b²

Diagonal of rectangle walk = √Length of rectangle² + Width of rectangle²

Diagonal of rectangle walk = √12² + 15²

Diagonal of rectangle walk = √144 + 225

Diagonal of rectangle walk = √369

Diagonal of rectangle walk = 19.2093

Diagonal of rectangle walk = 19.2 meter (Approx.)