The state of Wyoming is roughly in the shape of a rectangle whose perimeter is 1280 mi. The length is 90 more than the width. Find the dimensions.
2007-09-07 05:46:13 · 4 answers · asked by mf east 6 in Science & Mathematics ➔ Mathematics
Based on your information, you have the following equations:
L = W + 90.
2L + 2W = 1280.
Solving for W, you have:
2(W + 90) + 2W = 1280.
2W + 180 + 2W = 1280.
4W = 1100.
W = 275.
And as a result, L = 275 + 90 = 365.
2007-09-07 06:00:53 · answer #1 · answered by RustyL71 4 · 0⤊ 0⤋
L= length W= width P= perimeter
P = 2(L+W) and then you were given that L=W+90
So you replace L by W+90 in the formula of the perimeter
P=2(W+90+W) =2(2W+90)
(2W+90)=P/2 = 1280/2 = 640
2W+90=640 => 2W= 640-90= 550
2W= 550 => W= 550/2= 275
Knowing that W=275, we will then get that L=365 (from the formula L=W+90)
2007-09-07 13:02:44 · answer #2 · answered by Raj 4 · 0⤊ 0⤋
L = length
W = width
L = 90 + W
2L + 2W = 1280
divide 2nd equation by 2 to get:
L + W = 640
substitute eq 2 into eq 1:
(90 + W) + W = 640
2W = 550
W = 275 miles
L = 365 miles
2007-09-07 13:03:05 · answer #3 · answered by 037 G 6 · 0⤊ 0⤋
The width = 275 mi
The length = 365 mi
2007-09-07 12:59:03 · answer #4 · answered by bigstepper 1 · 0⤊ 0⤋