When the length of each side of a square is increased by 5 cm, its area is increased by 895 cm2. Find the length of a side before the increase. The length of a side before the increase is...

Step-by-step explanation:

Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side:

The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.

Put that together into an equation:

and simplify to

10s = 870 so

s = 87

Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is

8464 - 7569 = 895 so we did good!

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