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3 years ago

Really stuck with this equation someone please solve this with working asap much appreciated

Mathematics

1 answer:

kirza4 [7]3 years ago

5 0

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,

$H^2 = B^2+P^2\\d^2 = w^2+l^2\\l^2 = d^2 - w^2\\l^2 = (472)^2 - (250)^2\\l^2 = 222784 -62500\\l^2 = 160284\\\sqrt{l^2} = \sqrt{160284}\\l = 400.35\ cm$

3. Area:

The area of a rectangle is given by:

$Area = length * width\\Area = l * w\\= 400.35 * 250\\= 100087.5\ cm^2$

Hence,

Length = 400.35 cm

Area = 100087.5 cm^2

Keywords: Area, Rectangle

Learn more about area of rectangle at:

#LearnwithBrainly

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