Asked by anonymous

The dimensions of a door are 3 ft wide by 7 ft 6 in high. If the same amount is added to each dimension of the door, the area is increased by 5.5 ft2. Find the dimensions of the new door. (Round your answer to one decimal place.)
Answered by Steve
(3+x)(7.5+x) = 3*7.5 + 5.5
solve for x, and then the new dimensions (in feet) are the factors on the left side above.
Answered by anonymous
can you show to do it
Answered by Steve
yeah, but you clearly need the practice. expand the left side, collect terms, and then just solve the quadratic equation, using the quadratic formula.
Answered by anonymous
are the answers:
x=−0.218847
x=−10.2812
Answered by Steve
not likely to have negative dimensions for the door, are you?
Once you get an answer, check to see whether it makes sense!
Specifically, they said x was <u>added</u> to each dimension.
I get x = 0.5

How did you get your answers?