Question

A rectangular garden has a length of (3x + 30) units and a width of (x + 20) units. The garden also consists of a walkway, which has an area of (x2 + 30x + 200) square units. Complete the polynomial expression that represents the total planting area in the garden.

Answer 1

2x^2 + 60x + 400

If you multiply the first two equations to find the total area of the garden, then you can subtract the size of the path from tha and then you'll have your answer.... Math is the best thing ever

Answer 2

`2x^2+60x+400`

Explanation:

First we have to find the total area of the garden then:

`(3x+30)(x+20)=3x^2+60x+30x+20=3x^2+90x+600`

Now we just have to substract the walkway area tha is
`x^2+30+200` then:

`3x^2+90x+600-(x^2+30x+200)=3x^2+90x+600-x^2-30x-200)=`

`2x^2+60x+400`