Length = 400.35 cm
Area = 100087.5 cm^2
Step-by-step explanation:
Given
Width = w = 250 cm
Diagonal length = d = 472 cm
1. Diagram:
The diagram is attached as a picture.
2. Length of sheet of metal:
The given scenario makes a right triangle where diagonal is the hypotenuse and width is the base so we can use Pythagoras theorem to find the length
So,
[tex]H^2 = B^2+P^2\\d^2 = w^2+l^2\\l^2 = d^2 - w^2\\l^2 = (472)^2 - (250)^2\\l^2 = 222784 -62500\\l^2 = 160284\\\sqrt{l^2} = \sqrt{160284}\\l = 400.35\ cm[/tex]
3. Area:
The area of a rectangle is given by:
[tex]Area = length * width\\Area = l * w\\= 400.35 * 250\\= 100087.5\ cm^2[/tex]
Hence,
Length = 400.35 cm
Area = 100087.5 cm^2
Keywords: Area, Rectangle
Learn more about area of rectangle at:
- brainly.com/question/2977815
- brainly.com/question/3071107
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