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Feliz [49]
3 years ago
7

mr.lumen replaced a square window with a rectangular one.The new window is 3 ft wider and 2 ft higher than the square one.it has

an area of 30 ft.how log was a side of the original square window?
Mathematics
2 answers:
stira [4]3 years ago
6 0

Alright, lets get started.

Suppose the original square window has the side = x feet

The new window is 3 ft wider and 2 ft higher than the square one.

Means length of the new window will be = (x+3)

Width of the new window will be = (x+2)

So the area of the new window will be = (x+3)(x+2)

So the area of the new window will be = x^2 + 2x + 3x + 6

So the area of the new window will be = x^2 + 5x + 6

As given in question the area of 30 square feet for the new window, hence

x^2 + 5x + 6 = 30

x^2 + 5x - 24 = 0

Factoring

(x+8)(x-3) = 0

x = -8 or x = 3

Side could not be negative hence

side of the original square window will be = 3 feet : Answer

Hope it will help :)

Amiraneli [1.4K]3 years ago
4 0
It is 7.5 becaus3 I know and I did tbis problem before and my teacher said it was right unless she was wrong.
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