Answer :
Final answer:
The length of the kitchen, given a perimeter of 528 inches and a width of 120 inches, is calculated to be 144 inches.
Explanation:
The student is asked to find the length of the kitchen given its perimeter and width. The formula to find the perimeter of a rectangle is P = 2 *(length + width). In this case, the perimeter (P) is 528 inches and the width is 120 inches. We can plug these into the formula and solve for length.
528 = 2*(length + 120)
Divide both sides of the equation by 2: 264 = length + 120
Then, subtract 120 from both sides: 144 = length
So, the length of the kitchen is 144 inches.
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Answer: 144 inches.
Step-by-step explanation:
1. To solve this problem you must remember the formula for calculate the perimeter of a rectangle, which is shown below:
[tex]P=2l+2w[/tex]
Where [tex]l[/tex] is the lenght and [tex]w[/tex] is the width.
2. You know the perimeter and the width, then you can solve for the length, as following:
[tex]P-2w=2l\\l=\frac{P-2w}{2}\\l=\frac{(528in)-(2*120in))}{2}\\l=144in[/tex]
