Answer:
C = a² + 2ab + b²
Step-by-step explanation:
From the diagram above,
Let the dimension of the square be
A (length) = (a + b) and B (breadth) = (a + b).
Area of the square is A*B
A * B = (a + b) * (a + b)
Area = a² + ab + ab + b²
Area = a² + 2ab + b².
Therefore the expression that defines the area of the square is a² + 2ab + b².
Answer:
He saw <u>1 duck</u> and <u>3 dogs</u>.
Step-by-step explanation:
Given:
Evan went to the park and saw four animals.
Each animal was either a duck or a dog.
He saw a total of 14 legs.
Now, to find the number of each animal he had seen.
Let the number of duck be 
And the number of dog be 
So, total number of animals:

Now, the total number of legs he did see:
<em>As we know the legs of a duck are 2 and a dog are 4.</em>
Adding both sides by -16 we get:

Dividing both sides by -2 we get:

The number of duck = 1.
Now, putting the value of
in above equation we get:


The number of dogs = 3.
Therefore, he saw 1 duck and 3 dogs.
Hi there! The answer is 100πcm^2
The radius of a circle can be found by dividing the diameter by 2. In other words : the radius is half of the diameter.
Therefore, the radius of a circle with a diameter of 20 cm is 10 cm.
The exact area of a circle can be found using the following formula:

In order to find our answer, we need to plug in the data from the question.

Hence, the answer is 100πcm^2.
Answer: -2 8/25
Step-by-step explanation:
-2.32 * 100/100
2.32*100/100
-232/200
Simplest form reduced by:
-58*4/25*4
-58/25
-2 8/25