Question

The painting shown at the right

has an area of 360 in2. What is
the value of x?
X =

(3x + 2) in.

Answer 1

x = 10.20240940

Explanation:

`x(2x + 9) = 2x^2 + 9x`

`2x^2 + 9x = 300`

- 300 on both sides

`2x^2 + 9x - 300 = 0`

solve using the quadratic formula

`x = -b +/- \ \text{all root} (b)^2 - 4(a)(c) \ \text{All over} \ 2(a)`

When all the values are plugged in:

When using "+" in the equation you should get:

x = 10.20240940

When using "-" in the equation you should get:

x = −14.70240940

Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940.

Your answer is: x = 10.20240940