Arectangular piece of plywood has a diagonal which measures two feet more than the width. the length of the plywood is twice the width. what is the length of the plywood’s diagonal? round your answer to the nearest tenth.

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

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

i belive those are the ones that are under 90 degreese.