Question

The width of an extra large rectangular poster is 8 inches more than half its length. The area of this poster is 306 square inches. Write an equation in one variable that could be used to find the number of inches in the dimensions of this poster.

SOMEONE HELO PLEASE 30 points

Answer 1

Answer:
`x^2+16x-612=0`

Explanation:

Let x be the length of the poster.

As per given , width =
`(x)/(2)+8`

Area = Length x width

i.e.

`306=((x)/(2)+8)* x\\\\\Rightarrow 306=((x+16)/(2))* x\\\\\Rightarrow 306*2=x^2+16x\\\\\Rightarrow\ x^2+16x-612=0\\\\\Rightarrow\ x=18, x=-34`.

Required equation:
`x^2+16x-612=0`