A rectangular picture frame has perimeter of 58 inches. The height of the frame is 18 inches. What is the width of the frame?

Question

A rectangular picture frame has perimeter of 58 inches. The height of the frame is 18 inches. What is the width of the frame?

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Maria 3 weeks 2021-09-23T02:43:08+00:00 1 Answer 0

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    2021-09-23T02:44:24+00:00

    Answer:

    11 inches

    Step-by-step explanation:

    A rectangle’s perimeter can be found using:

    p=2l+2w

    We know that the perimeter, p, is 58, and the length/height is 18. Therefore, we can substitute those values in

    58=2(18)+2w

    Multiply 2 and 18

    58=36+2w

    Since we want to find the width, we need to get w by itself. First, subtract 26 from both sides

    58-36=36-36+2w

    22=2w

    Since w is being multiplied by 2, divide both sides by 2. This will cancel out the 2, and leave w by itself.

    22/2=2w/2

    11=w

    So, the width is 11 inches

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