The tength of a picture frame is 12 cm more than twice the width. If the perimeter is 204cm, find the dimensions (length and width) of

Question

The tength of a picture frame is 12 cm more than twice the width. If the perimeter is 204cm, find the
dimensions (length and width) of the frame.

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Farah 3 years 2021-09-02T23:02:18+00:00 1 Answers 9 views 0

Answers ( )

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    2021-09-02T23:03:22+00:00

    Answer:

    30cm x 72 cm

    Step-by-step explanation:

    The perimeter is the measurements of all sides added together. Let’s start by dividing the perimeter by 2, so we have the sum of the length and width. This gives us 102cm. Let’s call the width x, and the length y. We know y is x times 2 plus 12. (2x + 12) So, we know [x + y = x + (2x + 12)]. So let’s solve.

    x + y = x + (2x + 12)

    102 = x + (2x + 12)

    102 = 3x + 12

    102 – 12 = 3x + 12 – 12

    90 = 3x

    90/3 = 3x/3

    30 = x

    The width is 30cm.

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