Question

Drag each value or expression to the correct location on the equations and sentences. Each value and expression can be used more than once, but not all values and expressions will be used.
Gary works at a bakery, and he needs to select a rectangular cookie sheet with an area of 192 square inches. The area of the cookie sheet is represented by the expression given below.

Complete the given statements, and find the width of the cookie sheet.

x^2+4x
Step 1: x^2+4x=192
Step 2: x(x+__)=192 Length is X. The width is__.
Step 3: x^2+4x-192=0
Step 4: (x+__)(x-12)=0
Because the length can't be__, the length is 12 and the width is __.

Options: 12, 4, x, x+4, -16, 16, x+12, x^2

Answer 1

Answer: The width of the rectangle will be 16 unit.

Explanation: Since, Given- 192 square unit is the area of the rectangle.

but again, according to the the area is represent by the expression $x^2+4x$

Then, Steps will be- Step 1:$x^2+4x= 192$

Step2:x(x+4) = 192, where x is the length of the rectangle. And the width is x+4.

Step3:  $x^2+4x-192=0$

Step4: (x+16)(x-12)=0

Because the lenght can not be negative, the lenght is 12 and width is 16.

so, option 4th will be right.