a wire is (7x-3) metres long a length of (3x-4) metres is cut for use how uch wire is left ??
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Answers
Question:-
A wire is (7x−3) meter long. A length of (3x−4) meters is cut for use. Now, answer the following questions:
(a) How much wire is left?
(b) If this left out wire is used for making an equilateral triangle. What is the length of each side of the triangle so formed?
Total length of the wire = 7x-3 mts
Length of the wire that is cut = 3x-4 m
Length of the wire left = 7x-3 - 3x-4
= 7x-3-3x+4
= 4x+1 m
Now, perimeter of equilateral ∆ = 4x+1 m
⇒3s
= 4x+1
where s = length of each side of an equilateral ∆
⇒s = 4x+13 mLength of each side of an equilateral ∆ =4x+13 m
Answer
total length of wire=[7x-3]
length of wire cut=[3x-4]
7x-3-[3x-4]
=7x-3-3x+4
=7x-3x-3+4
=4x+1
4x+1 meter is the length of wire that is left
now equilateral triangle has all three sides equal
therefore
4x=1\3 meter will be the lenght of each side of equilateral triangle formed.
hope this is helpful .