Question

4. A photographer needs a frame for a 16 x 20 inch picture, such that the total area is 340 in Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?

O4x^2 + 367 = 20
O4x^2 + 72x = 20
O2x^2 + 72 = 20
O2x^2 + 36x = 20

Answer 1

it is maybe c sry if it's not right

Answer 2

The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.

What is Area ?

Area is the space occupied by any surface ,It is measure in square units of length.

It is given that

A photographer needs a frame for a 16 x 20 inch picture

total area is 340 sq. in

width of the frame =?

Let width of the frame be x

The frame is in the shape of a Rectangle

Side of the frame =  ( 16+2x) and (20 +2x)

Area of a frame = Total Area -  Area of the picture

Total Area =  ( 16+2x) (20 +2x)

( 16+2x) (20 +2x) = 340

320 + 72x +4x² = 340

72x +4x²= 20

4x² + 72x = 20

The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.

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