Asked by Yin
The frame of a picture is 30 cm by 36 cm outside. If the area of the picture (inner rectangle) is 480 square cm, what is the width of the uniform border?
Answers
Answered by
Reiny
let the border be x cm wide
picture is (30-2x) by (36-2x)
(30-2x)(36-2x) = 480
1080 - 132x + 4x^2 - 480 = 0
4x^2 - 132x + 600 = 0
x^2 - 33x + 150 = 0
solve using the quadratic equation,
picture is (30-2x) by (36-2x)
(30-2x)(36-2x) = 480
1080 - 132x + 4x^2 - 480 = 0
4x^2 - 132x + 600 = 0
x^2 - 33x + 150 = 0
solve using the quadratic equation,
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