#### emmaiskool242

##### Junior Member

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What is the width of a rectangle with a diagonal of 25cm and a length of 24 cm??

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What is the width of a rectangle with a diagonal of 25cm and a length of 24 cm??

- Joined
- Mar 29, 2006

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So lets say(pluging it into the Pythagorean Theorem a^2+b^2=c^2) that 25=c,24=a, and b=width(w)

so then 24^2 + b^2 =25^2

that would mean 576 + b^2= 625

then you would do 625-576 =49

so b^2=49

then you would find the square root of both giving you

b=7

so the width of the rectangle would be 7 correct??

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You can check the answer to any "solving" exercise by plugging it back into the original problem.emmaiskool242 said:so the width of the rectangle would be 7 correct?

. . . . .For a rectangle with length 24 and width 7,

. . . . .is the diagonal 25?

. . . . .Check:

. . . . .25<sup>2</sup> = 625

. . . . .24<sup>2</sup> + 7<sup>2</sup> = 576 + 49 = 625

Since the solution "checks", it would appear to be valid.

Eliz.