Answer:
The required answer is .
Step-by-step explanation:
Consider the provided expression 4/5 (20x - 10)
The above expression can be written as:
Now, use the distributive property:
Distributive property: a(b+c)=ab+ac
Use the above property
Hence, the required answer is .
The length of the diagonal of the rectangle is d = 2
The diagonal of a rectangle is calculated by the formula
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Let the rectangle be represented as ABCD
Now , the diagonal of the rectangle is AC and BD
The measure of AC = 2 ( 5a + 1 )
And , the measure of BD = 2 ( a + 1 )
For a diagonal of a rectangle ,
The two diagonals of the rectangle will be same
So , the measure of AC = measure of BD
Substituting the values in the equation , we get
2 ( 5a + 1 ) = 2 ( a + 1 )
On simplifying the equation , we get
Divide by 2 on both sides of the equation , we get
5a + 1 = a + 1
Subtracting a on both sides of the equation , we get
4a + 1 = 1
Subtracting 1 on both sides of the equation , we get
4a = 0
a = 0
Now , substitute the value of a in measure of AC , we get
The measure of diagonal AC = 2 ( 5 ( 0 ) + 1 )
The measure of diagonal AC = 2
Hence , the measure of diagonals of the rectangle = 2
To learn more about diagonal of rectangle click :
#SPJ5
The correct answer will be option A.