SOLUTION: YIELD RIGHT OF WAY SINGNS USED IN THE US ARE TRIANGLES. THE AREA OF THE SIGN IS ABOUT 558 SQUARE INCHES. THE HEIGHT OF THE SIGN IS ABOUT 5 INCHES LESS THAN ITS BASE. DETERMINE THE

Question 59840: YIELD RIGHT OF WAY SINGNS USED IN THE US ARE TRIANGLES. THE AREA OF THE SIGN IS ABOUT 558 SQUARE INCHES. THE HEIGHT OF THE SIGN IS ABOUT 5 INCHES LESS THAN ITS BASE. DETERMINE THE LENGTH OF THE BASE OF THE YIELD RIGHT OF WAY SIGN.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The area of a triangle is given by:
= 558 sq. ins.
The height, h = b-5 Substitute this into the above equation and solve for b.
Multiply both sides by 2
Subtract 1116 from both sides and simplify.
Solve by factoring.
Apply the zero product principle.
and/or
If then This is a valid solution since it is positive.
If then Not a valid solution since the length of the base must be a positive value.
The length of the base is 36 inches.
RELATED QUESTIONS
What is the length of the base of a yield sign that has a height of 14 inches and has an... (answered by solver91311)

If the area of a Route 66 sign measures 576 square inches and the sign is a square, what... (answered by edjones)

A traffic yield sign is an equilateral triangle. Find the measure of each arc of the... (answered by ilana)

The height of a right triangle is 6 inches longer than the base. The area of the triangle (answered by nerdybill)

A triangular sign has a height that is twice its base. The area of the sign is 10 square... (answered by checkley79)

A sign is in the shape of a regular hexagon. If the length of a diagonal of the sign is... (answered by colliefan)

Andrew has a grid in the shape of an isosceles trapezoid. He has right triangles with an... (answered by macston)

According to data taken from the NHANES study, the average height for men is about 5�10� (answered by stanbon)

Two right triangles are similar. The hypotenuse of the first is 6 inches long and the... (answered by cleomenius)