Question

Math Review Please help and show work if Possible so I know what to do

A photographer needs a frame for an 5 x 7 inch picture, such that the total area is 80 in2. Calculate the width of the frame.
(Note: The frame is the same width all the way around)

Which of the following quadratic equations would be used when solving this?

4x^2 + 12x = 45
4x^2 + 24x = 45
2x^2 + 24 = 45
2x^2 + 12x = 45

Answer 1

Answer:

4x^2 + 24x = 45

Step-by-step explanation:

Answer 2

Answer:

4x² + 24x = 45

Step-by-step explanation: mark me brainliest!

”The total area of the frame and picture needed by the photographer = 80 in²The size of the picture that will be in the frame = 5 × 7 inchThe length of the picture = 7 inchesThe width of the picture = 5 inchesLet x represent the width of the frame, we get;

The width of the total area = The width of the picture + 2 ×

The width of the frameTherefore, the width of the total area = 5 + 2·x

The length of the total area =

The length of the picture + 2 ×

The width of the frame

Therefore, the length of the total area = 7 + 2·xWe get;

The total area = Total length × Total width 

The total area = (5 + 2·x) × (7 + 2·x) 

We are given that the total area = 80, therefore, by transitive property of equality,

we have;(5 + 2·x) × (7 + 2·x) = 8035 + 10·x + 14·x + 4·x² = 804·x² + 24·x = 80 - 35 = 45∴ 4·x² + 24·x = 45

Therefore, the quadratic equation that can be used in solving for the width is 4·x² + 24·x = 45.”