Carmen begins her next painting on a rectangular canvas that is 82.7cm long and has an area of 8137.68 cm2. Will the painting fit in a frame with an opening that 82.7cm long and 95cm wide

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Leah2004 Leah2004

08-01-2016
Mathematics

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Carmen begins her next painting on a rectangular canvas that is 82.7cm long and has an area of 8137.68 cm2. Will the painting fit in a frame with an opening that 82.7cm long and 95cm wide

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taskmasters taskmasters · Answer 1 · 2016-01-08T08:57:08+01:00

Length of the rectangular canvas = 82.7 cm
Area of the rectangular canvas = 8137.68 cm^2
Let us assume the width of the rectangular canvas = x cm
Then we already know
Area of a rectangle = Length * width
8137.68 = 82.7 * x
x = (8137.68/82.7) cm
= 98.4 cm
So the width of the rectangular canvas is 98.4 cm. But we can see that the frame of the painting has a length of 82.7 cm and a width of 95 cm, so the painting will not fit in the frame as the painting has a length is 82.7 cm and the width is 98.4 cm. So the width of the painting is greater than the width of the frame.