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 coo
kie sheet is represented by the expression given below.
x² + 4x
Complete the given statements, and find the width of the cookie sheet.
Step 1: x² + 4x = 192
Step 2: x(x + ___ ) = 192 The length is x. The width is ___
Step 3: x² + 4x = 192 = 0
Step 4: (x + ___ ) (x - 12) = 0
Because the length can't be ___, the length is 12, and the width is ___
Here is the selection of values that can be inserted into the blank spaces. Note that not all of them will be used.
12
4
x
x + 4
-16
16
x + 12
x²
x² + 4x
Complete the given statements, and find the width of the cookie sheet.
Step 1: x² + 4x = 192
Step 2: x(x + ___ ) = 192 The length is x. The width is ___
Step 3: x² + 4x = 192 = 0
Step 4: (x + ___ ) (x - 12) = 0
Because the length can't be ___, the length is 12, and the width is ___
Here is the selection of values that can be inserted into the blank spaces. Note that not all of them will be used.
12
4
x
x + 4
-16
16
x + 12
x²
1 answer:
x-------> the length of <span>a rectangular cookie sheet
we know that
area of </span><span>a rectangular cookie sheet=length*width
area of </span>a rectangular cookie sheet=192 in²
area of a rectangular cookie sheet=<span>x² + 4x-----> x*(x+4)
</span><span>Step 1: x² + 4x = 192
</span><span>Step 2: x(x + 4 ) = 192 The length is x. The width is (x+4)
</span><span>Step 3: x² + 4x = 192=0
we have
</span>x² + 4x = 192
x² + 4x - 192=0
using a graph tool-----> to resolve the second order equation
see the aattached figure
the solution is
x=-16
x=12
(x+16)*(x-12)=0
the length is x=12 in
and the width is-----> (x+4)-----> 12+4----> 16 in
<span>Step 4: (x +16) (x - 12) = 0
Because the length can't be -16 the length is 12, and the width is 16</span>
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