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Scott has verified that the window is a rectangle. Side AB is half of the length of side AC. If the perimeter of the window is 120 ft., what are the lengths of side AB and side AC?

Scott has verified that the window is a rectangle Side AB is half of the length of side AC If the perimeter of the window is 120 ft what are the lengths of side class=

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akposevictor

Answer:

AB = 20 ft

AC = 40 ft

Step-by-step explanation:

==>Given:

Rectangular window ABCD, where,

side AB = ½ of side AC

Perimeter = 120ft

==>Required:

Length of side AB and side AC

==>Solution:

Let AB = x

If x = ½ of AC

AC = 2x

Perimeter = 2(AB + AC)

Thus,

120 = 2(x+2x)

120 = 2(3x)

120 = 6x

Divide both sides by 6 to solve for x

120/6 = x

20 = x

AB = x = 20 ft

AC = 2x = 2(20) = 40ft

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