The diagram shows a shape, all the corners are right angles, all the measurements are in cm explain why (x+4) (x +5) - 6 15
It would help if you proofread your questions before you posted them.
We don't have access to your diagram, and you don't even have an equation.
To understand the given expression, let's break it down step by step:
1. (x+4): This represents the length of one side of the shape, which is expressed as 'x' plus 4 centimeters.
2. (x+5): This represents the width of the shape, which is expressed as 'x' plus 5 centimeters.
3. (x+4)(x+5): This expression represents the area of the shape, which is calculated by multiplying the length and width. In this case, we are multiplying the expressions (x+4) and (x+5), which gives us the product.
4. -6: The expression (-6) represents a negative value that needs to be subtracted from the previous result.
5. 15: This is a constant value of 15 centimeters, which needs to be subtracted from the previous result.
Now, to calculate the final value, we'll simplify the expression by applying the distributive property:
(x+4)(x+5) - 6 - 15
Using the distributive property, we multiply each term inside the parentheses with each term outside the parentheses:
(x^2 + 9x + 20) - 6 - 15
Next, we combine like terms:
x^2 + 9x + 20 - 6 - 15
Simplifying further:
x^2 + 9x - 1
So, the final expression of the given diagram is x^2 + 9x - 1.