A rectangular corner lot, originially twice as long as it was wide, lost a 2-meter strip along two adjacent sides due to street widening. Its new area is 684 m squared. Find its new dimensions.
2006-10-17 13:53:17 · 8 answers · asked by michchristine 2 in Science & Mathematics ➔ Mathematics
L = 2W
(L - 2)(W - 2) = 684
(2W - 2)(W - 2) = 684
2w^2 - 6W + 4 = 684
2w^2 - 6W + -680 = 0
Now use the quadratic formula.
2006-10-17 14:00:49 · answer #1 · answered by MathGuy 3 · 0⤊ 0⤋
let x and 2x be the length and width of the original lot. The two adjacent sides lost 2 meters each, so the new length and width are (x-2) and (2x-2). Since the new area is 684 m sq,
(x-2) * (2x-2) = 684.
can you solve it from there?
2006-10-17 21:00:43 · answer #2 · answered by Judy 7 · 0⤊ 0⤋
First use the information relating length and width:
length = 2 * width
Then use the second piece of information:
(length - 2)*(width - 2) = 684
If you have two equations and two unknowns, you can solve for the values (provided the equations are independent)
substitute the first into the second:
(2*width - 2)*(width - 2) = 684
2*width^2 - 6*width + 4 = 684
width^2 - 3*width + 2 = 342
solve for the width
2006-10-17 21:00:31 · answer #3 · answered by Anonymous · 0⤊ 0⤋
38 x 18
2006-10-17 21:03:47 · answer #4 · answered by Steve 7 · 1⤊ 0⤋
oh thats easy..............i learned that last year and I think i was high when i was learning it so no i didnt really get it.....wait uhhh nevermind i dont know dont do drugs, stay in school...lol well actaully im serious
2006-10-17 20:56:42 · answer #5 · answered by Caroline M 2 · 0⤊ 0⤋
y r u asking others to do ur math hw or w/e this is?
2006-10-17 21:01:15 · answer #6 · answered by dramateen23 3 · 0⤊ 0⤋
Why don't people even bother to think?
2006-10-17 21:00:12 · answer #7 · answered by Anonymous · 0⤊ 0⤋
its ummm..................ummmmmmm...........an awnser
2006-10-17 20:56:18 · answer #8 · answered by Samantha S 1 · 0⤊ 0⤋