Terry had a square patio. after expanding the length by 20 ft and the width by 10 ft, the area was 999 ft2 . what was the original area?

The area of the original square patio will be 289 ft²

Explanation

Suppose, the side length of the original square patio is ft.

So, the area of the square patio will be: ft²

After expanding the length by 20 ft and the width by 10 ft, the new length will be: and the new width will be:

As the formula for area is and the area is given as 999 ft² , so the equation will be......

Using zero-product property, we will get.....

(Negative value of x is ignores as the side length can't be in negative)

So, the area of the original square patio will be:

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64