Question

Help pretty please:)
The length of a rectangle is 3 inches more than twice its width, and its area is 65 square inches. What is the width?



2.5 in.

5 in.

6.5 in.

Answer 1

So we don't know the length and we don't know the width, but we know the width in terms of the length, and we know the area

Answer 2

sorry, i mean we know the length in terms of the width*

Answer 3

$$A = lw$$ we know the area, and now the length. $$65 = lw \\ 65 = (3 + 2w)w$$

Answer 4

then we just solve by distributing then making a factorable quadratic
$$65 = 2w^2 + 3w \\ 2w^2 + 3w - 65 = 0$$

Answer 5

thank you @absurdism

Answer 6

now just solve that using the quadratic equation

Answer 7

the positive answer is your width