While hanging Christmas lights, you realize the plug is not as close as you thought. The roof is 15ft up and the socket is 6ft in from the edge of the roof. How long of an extension-cord do you need if you attach the cord diagonally?

16.16 ft

Step-by-step explanation:

This problem can be represented with a right angled triangle.

We have the two sides and we need to find the hypotenuse of the triangle.

From the diagram below, the adjacent is the distance of the socket from the edge of the roof (6 ft) and the height of the roof is the opposite (15 ft).

We apply Pythagoras theorem<

The extension cord should be 16.16 ft long.

step-by-step explanation:

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.'

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