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an architect has allocated a rectanguoar space of 324ft^2 for a square dinging room and a 12ft wide kitchen. find both width of...Question
An architect has allocated a rectangular space of 240ft^2 for a square dining room and a 14 ft wide kitchen. Find both the width of the square dining room and the length of the entire rectangular space.
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Reiny
As you can see from the many similar questions, this poorly worded question comes up again and again with just a change of numbers
We must assume that the width is the same for the kitchen and the dining room
let the dining room be x by x
area of dining room = x^2
area of kitchen = 14x
x^2 + 14x = 240
x^2 + 14x - 240 = 0
(x-10)(x+24) = 0
x = 10 or x = -24, which of course would be inadmissible
the dining room is 10 by 10, the kitchen is 10 by 14
and the length of the whole space is 24
We must assume that the width is the same for the kitchen and the dining room
let the dining room be x by x
area of dining room = x^2
area of kitchen = 14x
x^2 + 14x = 240
x^2 + 14x - 240 = 0
(x-10)(x+24) = 0
x = 10 or x = -24, which of course would be inadmissible
the dining room is 10 by 10, the kitchen is 10 by 14
and the length of the whole space is 24