Question

A) Which expression represents the area of her

square?

> b) Write down the value of the missing integer.
x^2 +

x² +10x+9
x² +10x+16
x² +10x+25

Answer 1

The expression that represents the area of a square is x². In this case, the missing integer is 9.

Step-by-step explanation:

The expression that represents the area of a square is x². In this case, the missing integer can be found by comparing the equation x² + 10x + 9 with the expression for the area of the square, x². By comparing the coefficients of the corresponding terms, we can see that the missing integer is 9.

Answer 2

a) x² + 10x + 25

b) x + 5

Step-by-step explanation:

[a]

We see that we are given three equations. They all start with "x² + 10x," but the ending constant value is different. To answer this question, we need to determine which value makes the most sense.

It is given that the area of a square is A = s² where s is a side. Knowing this, we need to find what value added to itself equals 10 and multiples to one of the given options.

This leads us to the last answer option. 5 + 5 = 10 and 5 * 5 = 25. This is the only answer option that applies to the given information.

A = (x + 5)² = (x + 5)(x + 5) = x² + 10x + 25

[b]

The answer to b is 5, as we found when answering part a. The side lengths are "x + 5" of this square.