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The perimeter of a rectangle is 38 ft. The length is 5 ft. longer than the width.

Find the dimensions. Write a system of linear equations and solve the resulting system. Let x be the length and y be the width.

Answer the first equation 2x+2y=?

Answer  the second equation x=y+?

What is the length ? (in ft.)

What is the width? (in ft.)

 

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1 Answer

P = 38

L = W + 5

P = 2L + 2W

P = 2(W + 5) + 2W = 2W + 10 + 2W 

38 = 4W + 10

28 = 4W

W = 7 ft

L = W + 5 = 7 + 5 = 12 ft