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madam [21]
3 years ago
9

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

Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0

Answer:

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

P=2(x+y)

we have

P=64\ in

so

64=2(x+y)

simplify

32=x+y ----> equation A

x=y+10 ----> equation B

Solve the system by substitution

substitute equation B in equation A

32=y+10+y

solve for y

32=2y+10

2y=32-10

2y=22

y=11

therefore

The width of the piece is 11 inches

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