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A corner lot has dimensions 25 by 40 yards

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A corner lot has dimensions 25 by 40 yards. The city plans to take a strip of uniform width along the two sides bordering the streets in order to widen these roads. How wide should the strip be if the remainder of the lot is to have an area of 844 square yards?

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Suppose the uniform width of the strip the city plans to take is x yards.
This means the remainder of the lot will have dimensions (25-x) by (40-x).

We got to find such x that the area of the remainder is 844 sq yards, that is

(25-x) * (40-x) = 844

This is a quadratic equation you are supposed to know how to solve.
Let us do it:

open the brackets:
...

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