Question

The surface area of a square card table can be represented by x^2-50x+625.

A: write an expression that represents the side length of the table

B: write an expression for the perimeter of the table

Answer 1

A)
area of a square card table=side x side

a²-2ab+b²=(a-b)(a-b)=(a-b)²


x²-50x+625=x²-2(25)x+(25)²=(x-25)²=(x-25)(x-25) (=side x side)

Answer: the side lengh of the talbe is: (x-25)

B)
Perimeter: 4(side)=4(x-25)=4x-100

answer: The perimeter is : (4x-100)