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Henry needs to carpet two square rooms, one being 12 foot longer each side than the other. The carpet costs £7 per square foot and the bill amounts to £14,840. What are the dimensions of the two rooms?

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Type: Question • Score: 1 • Views: 905 • Replies: 3

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@sophocles,

7 (x^2 + (x+12)^2)=14840
Solve for x.

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@fresco,

I am useless with equations I don't understand them.

I make the smaller room 772 square foot
I make the larger room 1348 square foot
Dimensions of smaller room 193 X 193
Dimensions of larger room 337 X 337

Are these correct

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@sophocles,

7 (x^2 + (x+12)^2)=14840
=>
x^2 +12x - 988 =0
(x+38)(x-26)=0

So one room is 26x26=676 sq ft
The other is 38x38=1444 sq ft

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Problem Solving. Please Help!

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