Question

A rectangle has a height of 2x^42x 4 2, x, start superscript, 4, end superscript and a width of x^2+8x+15x 2 +8x+15x, squared, plus, 8, x, plus, 15.

Answer 1

Question:

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

Answer:

`Area = 2x^6 + 16x^5 + 30x^4`

Explanation:

Given

`Height = 2x^4`

`Width = x^2 + 8x + 15`

Required

Determine the area of the rectangle

This is calculated as:

`Area = Width * Height`

`Area = (x^2 + 8x + 15) * 2x^4`

`Area = 2x^6 + 16x^5 + 30x^4`