A rectangular picture frame is twice as long as it is wide. If the area of the frame is 288 in², find its dimensions.

Mylo O'Moore

Mylo O'Moore

Answered question

2020-12-24

A rectangular picture frame is twice as long as it is wide. If the area of the frame is 288², find its dimensions.

Answer & Explanation

davonliefI

davonliefI

Skilled2020-12-25Added 79 answers

Lex x be the width, so that 2x is the length of the rectangular picture frame. Given the area, we can write the equation: A=lw
288=(2x)(x)
288=22
144=x2
x=±144
The width (and length) cannot be negative so take the positive solution: x=12
Using this x value, the dimensions of the rectangular picture frame are: 24 inches by 12 inches
Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

Explanation on video

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