Question

The total area, in square feet, of a rectangular stage that has been widened by x feet is represented by 1,900 + 76x. Use the distributive property to factor the expression. What does each factor in the equivalent expression tell you about the stage?

Answer 1

The length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet.

Explanation:

The total area, in square feet, of a rectangular stage that has been widened by x feet, is represented by 1,900 + 76x.

Now, factorizing the expression for the area we get,

A = 1900 + 76x

⇒ A = 76(25 + x)

Therefore, from the above expression, we can assume that the length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet. (Answer)