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Veseljchak [2.6K]
3 years ago
7

A square has sides with lengths of (x - 2) units. A rectangle has a length of x units and a width of

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0

Answer:

(A)The area of the square is greater than the area of the rectangle.

(C)The value of x must be greater than 4

(E)The area of the rectangle is (x^2-4x) \:Square \:Units

Step-by-step explanation:

The Square has side lengths of (x - 2) units.

Area of the Square

(x-2)^2=(x-2)(x-2)=x^2-2x-2x+4\\=(x^2-4x+4) \:Square \:Units

The rectangle has a length of x units and a width of  (x - 4) units.

Area of the Rectangle =x(x-4)=(x^2-4x) \:Square \:Units

<u>The following statements are true:</u>

(A)The area of the square is greater than the area of the rectangle.

This is because the area of the square is an addition of 4 to the area of the rectangle.

(C)The value of x must be greater than 4

If x is less than or equal to 4, the area of the rectangle will be negative or zero.

(E)The area of the rectangle is (x^2-4x) \:Square \:Units

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