Respuesta :

Question:

A rectangle has a height of 2x^4 and a width of x^2+8x+15. Calculate its area.

Answer:

[tex]Area = 2x^6 + 16x^5 + 30x^4[/tex]

Step-by-step explanation:

Given

[tex]Height = 2x^4[/tex]

[tex]Width = x^2 + 8x + 15[/tex]

Required

Determine the area of the rectangle

This is calculated as:

[tex]Area = Width * Height[/tex]

[tex]Area = (x^2 + 8x + 15) * 2x^4[/tex]

[tex]Area = 2x^6 + 16x^5 + 30x^4[/tex]