Question

the length of a rectangular deck is 5 feet longer than its width,x. the area of the deck is 310 square feet. which equation can be used to determine the width of the deck A- 0=x^2+5x-310. B- 0= 2x^2-310. C- 0=x^2-305. D- 0=x^2+5x-310

Answer 1

`x^2+5x-310=0`

Explanation:

Let's assume width of rectangular deck is x feet

so, W=x

the length of a rectangular deck is 5 feet longer than its width

so, L=x+5

we know that

area of rectangle = length*width

`A=L* W`

we can plug values

`A=x* (x+5)`

we have area =310

so, we can set A=310

`x* (x+5)=310`

`x^2+5x=310`

`x^2+5x-310=0`

So, equation is

`x^2+5x-310=0`