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rksheet:Solving Linear Equations
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1.2.AP-6
A 56-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece.
If x represents the length of the first piece, find the lengths of all three pieces
What is the length of the first piece?
I
(1.1)
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x
Enter your answer in the answer box and then click Check Answer.

your answer is 2nd triangle.

let me start with the meaning of term translation.

translation means moving a figure on the same plane by changing   some amount of x coordinate   and some amount of y coordinate in all the vertices of that figure.the value of change is integral value. suppose i am translating a triangle so if i can add or subtract some integral value to x coordinate(i.e   vertex a) than we have to add or subtract same integer to b and c.applying same procedure for y cordinate.

now come to your question

by applying simple addition and subtraction in the given coordinate of triangle abc i.e if we add some integral values(x and y can be different)   to vertices triangle 2 is the exact translation.

x coordinate of   a= 2 =2-5=-3,   x coordinate of   b=2=2-5=-3, x coordinate of   c=4=4-5=-1, y coordinate of a=5=5-0=5+0, y coordinate of b=3-0=3+0=3, y coordinate of c=3=3-0=3+0

a(2,5),b(2,3),c(4,3) is translated to a(-3,5),b(-3,3),c(-1,3).

none of the other figure satisfies the above criteria. triangle 2 is the correct answer.