Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
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Step-by-step explanation:
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Answer:
(3.) x = 45
Step-by-step explanation:
Because the lines are parallel and cut by the same line, the angles within are equal as well.
Which means that...
Angle GE = Angle EFD
Therefore (2x-30) = (x + 15)
2x - 30 = x + 15
+30 +30 (add 30 to both sides to get rid of the -30)
2x = x + 45
-x -x (subtract x from both sides to get rid of the single positive x)
x = 45
Here we have to convert 423 yards into feet.
first let us find the basic relation between yard and feet
1 yard =3 foot
so applying this to our question we get,
423 yard =423*3 foot = 1269 feet
Answer 423 yards =1269 feet
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