Asked by amber
a rectangular bedroom is 7 feet longer than its width. Its area is 228 feet^2. what is the width of the room?
Answers
Answered by
Bosnian
A bedroom is 7 feet longer than its width.
This mean
L = 7 + W
A = L * W = 228
( 7 + W ) * W = 228
7 W + W ^ 2 = 228
W ^ 2 + 7 W = 228 Subtract 228 to both sides
W ^ 2 + 7 W - 228 = 228 - 228
W ^ 2 + 7 W - 228 = 0
The solutions are :
W = 12 and W = - 19
Width can't be negative so W = 12 ft
L = 7 + W = 7 + 12 = 19 ft
A = L * W = 19 * 12 = 228 ft ^ 2
This mean
L = 7 + W
A = L * W = 228
( 7 + W ) * W = 228
7 W + W ^ 2 = 228
W ^ 2 + 7 W = 228 Subtract 228 to both sides
W ^ 2 + 7 W - 228 = 228 - 228
W ^ 2 + 7 W - 228 = 0
The solutions are :
W = 12 and W = - 19
Width can't be negative so W = 12 ft
L = 7 + W = 7 + 12 = 19 ft
A = L * W = 19 * 12 = 228 ft ^ 2
Answered by
amber
thank you so much Bosnian.. :-)
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