A rectangle has a height of a^2+3 and a width of a^2 +2a+5 Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Area = a^4 + 10 a^2 + 6 a + 15

Step-by-step explanation:

Height: a^2+3

Width: a^2 +2a+5

Area of the entire rectangle = Height x Width

So we have to multiply both expressions and apply distributive property:

Area = (a^2 + 3) x (a^2 + 2a + 5)

Area = a^2 x (a^2 + 2a + 5) + 3 x (a^2 +2a + 5)

Area = a^4 + 2a^2 + 5a^2   + 3a^2 + 6a + 15

grouping terms of same power of a:

Area = a^4 + (2+5+3)a^2 + 6a + 15

Area = a^4 + 10 a^2 + 6 a + 15

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

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step-by-step explanation:

the following points can be visualized easily from the graph