Question: The length of a pool table is two times its width.The perimeter of the table is 30 ft. Find the length of the pool table.
A ) 12 ft
B ) 9 ft
C ) 20 ft
D ) 10 ft
Steps to derive
1 The perimeter of the pool table is 30 ft and length is two times its width.
2 Let w be the width of the rectangular pool table.
[Pool table will be rectangular shape.]
3 So, length = 2w
[Given, length of the table is two times its width.]
4 Perimeter of the pool table = 2(length + width).
[Substitute the values.]
5 30 ft = 2(2w + w)
[Work inside the group.]
6 30 ft = 2(3w)
[Multiply.]
7 30 ft = 6w
[Divide by 6 on both sides.]
8 306ft = 6w6
[Simplify.]
9 w = 5 ft
10 Length = 2w = 2 x 5 = 10 ft
[Replace w with 5.]
11 The length of pool table is 10 ft
Hence the right answer is Option D
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