Can you me find the value of x and y while l is parallel to m.

Answer-

The values of x and y are 13 and 24, respectively.

Solution-

From the attachment, l and m are parallel lines and

   ---------------------1

As, when a traversal line intersects two parallel lines, same-side interior angles are supplementary, or they add up to 180 degrees.

    ---------------------2

As, an exterior angle is equal to the sum of the opposite interior angles.

Adding equation 1 and 2, we get,

Putting the value of x in equation 1, we get

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

irrational, cannot