Question

A gardener is mowing a 20 yd-by-40 yd rectangular pasture using a diagonal pattern. He mows from one of the pasture to the corner diagonally opposite. What is the length of this path with the mower ? Give your answer in simplified form .

Answer 1

The answers:

1. D ( 2 square root 35 )

2. B ( 4n^4 square root 3n )

3. A ( 15c^2 square root 3 )

4. B ( square root 6 over 5y)

5. D (20 square root 5)

Answer 2

20√5 yard.

Explanation:

Given,

A path is made in 20 yd × 40 yd rectangular pasture using the diagonal pattern,

So, the length of the path = Diagonal of the rectangle having dimension 20 yd × 40 yd,

Since, the diagonal of a rectangle is,

`d=√(l^2+w^2)`

Where, l is the length of the rectangle and w is the width of the rectangle,

Here, l = 20 yd and w = 40 yd,

Thus, the diagonal of the rectangular pasture,

`d=√(20^2+40^2)`

`=√(400+1600)`

`=√(2000)`

`=√(400* 5)=20√(5)`

Hence, the length of the path is 20√5 yd.