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Answer:
The length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4
Step-by-step explanation:
let l be the length and w be the width of the rectangle respectively;
Diagonal(D) of a rectangle is given by:
......[1]
As per the given statement we have;
Diagonal(D) = width + 2
and
= 2w
Now, substitute these in [1] we have;
Squaring both the sides we get;
or
or
Simplify:
......[2]
The quadratic equation is in the form of
the solution is given by:
On comparing with [1] we get
a= 1 , b = -1 and c = -1
Then the solution is:
Simplify:
and
Then, the diagonal D = w+2
For
For
therefore, the length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4