Question

Select the correct answer.

Each side of a square is

(st

5) units. Which expression can be used to represent the area of the square?

22 - 50 - 10

I2 – 50 + 10

2 – 100 - 25

22 - 10x + 25

Answer 1

D.) x²-10x+25 sq. units

Explanation:

The question is not properly written. The question should have been:

If each side of a square is (x-5) units, which expression can be used to represent the area of the square.

Area of a square = L² where:

L is the length of the square

Given

L = x-5

Required

Area of the square

Substitute the given function into the formula to get the required as shown:

Area of the square = (x-5)²

Expand

A(x) = (x-5)(x-5)

A(x) = x(x)-5x-5x-5(-5)

A(x) = x²-10x-25

Hence the area of the square is (x²-10x+25)sq. units. Option D is correct.