Answer:
81 square inches.
Step-by-step explanation:
Draw a diagram to represent what you know.
You don't know the values of the lengths so represent them algebraically.
You know the perimeter is 45 inches and that the perimeter is calculated by the sum of all of the sides of a shape.
You can rearrange to find the value of a side you've denoted as some unknown variable.
The area is given by the product of the sides. Express this algebraically and then input the value you found.
For this case we must find the solution of the following quadratic equation:
Where:
Then, the solution is given by:
Substituting the values:
By definition we have:
Thus, we have two complex roots.
Answer:
The equation has no real roots.
Answer:
16 ft²
Step-by-step explanation:
The complete question is attached.
A trapezoid is a quadrilateral (has four sides) with one a parallel base. The base angles and the diagonals of an isosceles trapezoid are equal.
The area of a trapezoid = [(sum of the parallel bases) / 2] * height of the trapezoid.
Given that the parallel bases are 3 ft and 5 ft, while the height of the trapezoid is 4 ft. Hence:
The area of a trapezoid = [(3 + 5)/2] * 4
The area of a trapezoid = 16 ft²
