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if the length of a rectangular painting is 3 inches more then the width and has a perimeter of 84in what are the dimensions​

User Varvara
by
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1 Answer

6 votes

Answer:

  • Length: 22.5 in
  • Width: 19.5 in

Explanation:

You want the dimensions of a rectangular painting with a perimeter of 84 inches and length 3 more inches than width.

Setup

We can write equations for the given relationships:

2(L +W) = 84 . . . . . . . . perimeter

L = W +3 . . . . . . . . . . . length

Solution

Substituting for L using the second equation, we have ...

2(W +3 +W) = 84

4W +6 = 84 . . . . . . . simplify

4W = 78 . . . . . . . . . subtract 6

W = 19.5 . . . . . . . . divide by 4

L = 19.5 +3 = 22.5 . . . . . find length

The dimensions of the painting are 19.5 inches wide by 22.5 inches long.

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User Mamta
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