www.VirtualNerd.com

How Do You Find the Area of a Rectangle Whose Sides are a Monomial and a Polynomial?

Leroy's garden has the dimensions given in the diagram. Write a polynomial in simplest form for the area of the garden.

Summary

  1. The area of a rectangle is length times width
  2. 2a2+4a-5 is the length of the garden
  3. 3a is the width of the garden
  4. To find the area, multiply the width, 3a, by the length, 2a2+4a-5
  5. Multiply 3a by each term in the polynomial
  6. 3a•2a2=6a3
  7. 3a•4a=12a2
  8. 3a•-5=-15a

Notes

    1. The area of a rectangle is just its length times its width
    1. The width of the garden is 3a
    2. The height of the garden is 2a2+4a-5
    3. Multiplying these will give us the area of the garden
    1. We need to multiply the monomial 3a through the polynomial 2a2+4a-5
    1. Multiply 3a by 2a2 to get 6a3
    2. Multiply 3a by 4a to get 12a2
    3. Multiply 3a by -5 to get -15a