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kiruha [24]
3 years ago
15

Jacob cut a rectangular piece of wrapping paper to wrap his brother's gift. The piece of wrapping paper had a perimeter of 50 in

ches. The length was 5 less than the width. Write a system of equations to represent the situation and solve the system.
Mathematics
1 answer:
Leona [35]3 years ago
6 0

The length of wrapping paper piece is 10 inches and width is 15 inches.

Step-by-step explanation:

Let,

Length of rectangular piece = x

Width of rectangular piece = y

Perimeter = 50

2(x+y) = 50

Dividing both sides by 2

\frac{2(x+y)}{2}=\frac{50}{2}\\x+y=25\ \ \ Eqn\ 1

x+y=25   Eqn 1

The length was 5 less than the width.

x = y-5   Eqn 2

Putting value of x from Eqn 2 in Eqn 1

(y-5)+y=25\\y-5+y=25\\2y=25+5\\2y=30

Dividing both sides by 2

\frac{2y}{2}=\frac{30}{2}\\y=15

Putting y=15 in Eqn 2

x=15-5\\x=10

The length of wrapping paper piece is 10 inches and width is 15 inches.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11805547
  • brainly.com/question/118412

#LearnwithBrainly

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