Aflat rectangular piece of aluminum has a perimeter of 64 inches. the length is 10 inches longer than the width. find the width

The width of the piece is 11 inches

Step-by-step explanation:

Let

x ----> the length of the rectangular piece of aluminum in inches

y ----> the width of the rectangular piece of aluminum in inches

we know that

The perimeter of the rectangular piece of aluminum is equal to

we have

so

simplify

----> equation A

----> equation B

Solve the system by substitution

substitute equation B in equation A

solve for y

therefore

The width of the piece is 11 inches

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