Agardener 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 .

20√5 yard.

Step-by-step 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,

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,

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

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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