# The formula for the length of the diagonal of a rectangle with sides of length a and b is d = `sqrt(a^2 + b^2)` Solve for a Thanks! :) ``

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The formula for the length of the diagonal of a rectangle with sides of length a and b is d =` sqrt(a^2+b^2)`

Now squaring both sides we get:

`d^2=a^2+b^2`

`rArr a^2=d^2-b^2`

`rArr a=sqrt(d^2-b^2)`

**Therefore, a=** `sqrt(d^2-b^2)` ** units.**