Faith T.

asked • 10/29/19

Urgent! need help on certain algebra question/shapes

Here's the question: a rectangle has an area of 168 cm^2, what's it's diagonal length?

PS: bc it has very least info on that question, so idk.

is it even possible to solve this?

thx

Mark H.

No---there is not enough information.....to see this, simply draw some possible shapes on graph paper and see the length of the diagonals.
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10/29/19

Brenda D.

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For a specific rectangle more information is needed. All you could try with the area given is to use factors of 168 as your height and base then use the Pythagorean Theorem to find the diagonal which splits the rectangle into two Right Triangles ; for example if the height was 12 cm and the base 14 cm.
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10/29/19

1 Expert Answer

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David W. answered • 10/29/19

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For a rectangle,

      Area = length * width

      Length of diagonal = √ (lengh2 + width2)


Given: area = 168 cm2

      Length of diagonal = √ ( (168/width)2  + width2  )

      Length of diagonal = √ ( length2 + (168/length)2 )


Either of those formulas answer the question. But to find a number, you need one of these numbers.

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