Problema Solution
jamal is building a rectangular deck. the length of the deck will be 1 foot longer than twice the width. the deck will be attached to jamal's house on one of its longer sides, and a railing will be attached to the other sides. Jamal calculates that he will need 49 feet of railing. what are the dimensions of the deck? show your work.
Answer provided by our tutors
Let
x = the width of the deck
1 + 2x = the length of the deck
The length of the railing needed is equal to two times the width plus one length (since the deck is attached to the house on one of the longer sides):
2x + (1 + 2x) = 49
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click here to see the equation solved for x
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x = 12 ft
1 + 2x = 1 + 2*12 = 25 ft
The dimensions of the rectangular deck are 12 feet and 25 feet.