Question

Katie wants to hang a painting in a gallery but the painting and frame must have an area of 45 square feet. The painting is 6 feet wide by 7 feet long. The frame must have an equal width of x on each side. Which quadratic equation represents the area of the painting and frame combined?

Answer 1

Do u have options?

Answer 2

yeah hold on

Answer 3

4x2 + 26x + 45 = 0

4x2 + 26x − 3 = 0

x2 + 13x − 3 = 0

x2 + 13x + 45 = 0

Answer 4

Ok...nevermind! i got it! the equation without factoring is (2x + 7)(2x +6) based on the information given! now just foil it out!
(2x + 7)(2x +6) = 0
4x^2 + 12x + 14 X + 42
4x^2 + 26X + 42 = 0!
Enjoy!

Answer 5

oh wait a second! small error!

Answer 6

okay

Answer 7

(2x + 7)(2x + 6) = 45 Not 0!
then, it'll be 4x^2 + 26x + 42 - 45 = 0
then, the final answer is 4x^2 + 26x - 3 = 0!
So, the answer is B!

Answer 8

Can u understand?

Answer 9

yeah i get it now! thank you! (: