Question

The length of a rectangle is 7 cm less than twice its width. its area is 72 sq cm. Find the dimensions?

Answer 1

\[A = lw\]

Answer 2

\[72 = (width)(height)\]

Answer 3

let width = x

length = 2(width) - 7
length = 2x - 7

Answer 4

\[72 = (x)(2x-7)\]

Answer 5

Now solve for x and that's the width.
Then substitute that number into 2x-7, which will give you your length.