Arectangular piece of plywood has a diagonal that measures three times the width. the length of the plywood is three feet more than the width. what is the length of the plywood’s diagonal?

The length of diagonal is 4.922 feet.

Step-by-step explanation:

Let the width be = w

Let the diagonal be = d

Let the length be = l

Given is that the diagonal measures three times the width, this gives:

Also given is the length of the plywood is three feet more than the width. This is :

Now, in terms of x we get:

Width = x

Length = (x+3)

Length of Diagonal = 3x

Now applying Pythagorean Theorem

Solving this we get,

We will use quadratic formula to solve this and get the answer,

x = 3/7 +/- (12√2) / -14

x = 1.64075 or x = -0.783612(neglect this negative value)

So, x = 1.64075 feet

Now length of diagonal is 3x = 3*1.64075 = 4.922 feet

So, length of diagonal is 4.922 feet.

step-by-step explanation:

more detail

step-by-step explanation: