Option D: is the product of the expression
Explanation:
The expression is
We need to determine the product of the expression.
To determine the product of the expression, we need to simplify the given expression.
Thus, we have,
The term is of the form
Now, we shall use the identity,
Hence, we have,
Multiplying the terms and cancelling the common terms, we get,
Hence, the product of the given expression is
Therefore, Option D is the correct answer.
The surface area of the geometric shape is B. 840 cm².
Step-by-step explanation:
Step 1:
The given figure is made up of three rectangles and two triangles.
The surface area of the geometric shape is given by summing the individual surface areas.
The geometric shape's surface area = The sum of the individual surface areas.
Step 2:
The surface area of the rectangles is the multiplication of its length and width.
The surface area of the rectangle with length z and width x .
The surface area of the rectangle with length y and width x .
The surface area of the rectangle with length x and width x .
Step 3:
The area of a triangle is half the product of its base length and height.
The surface area of a triangle with base y and height x.
They are two similar triangles so their areas are equal
Step 4:
The geometric shape's surface area .
So the surface area is option B. 840 cm².