A rectangular piece of plywood has a diagonal that measures three feet more than the width. The length of the plywood is three t
imes the width. What is the length of the plywood diagonal?
1 answer:
Answer:
The length of the plywood diagonal is
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
The diagonal of rectangle is equal to
-----> equation A
----> equation B
-----> equation C
substitute equation C and equation B in equation A and solve for y
squared both sides
Solve the quadratic equation by graphing
The solution is
see the attached figure
Find the value of d
----- >
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Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).
