Question

A rectangle’s perimeter is 28 meters and its area is 46 square meters. How long is its

longest side, in meters?

Answer 1

Explanation:

lets say l=length and w=width and P=28 and A=46

28=2l+2w

46=l*w

w=46/

28=2(46/w)+2w

28=92/w+2w

28w=92+2w^2

0=2w^2-28w+92

0=w^2-14w+46

0=w^2-14w+49-3

0=(w-7)^2-3

3=(w-7)^2

w-7=
`\sqrt[]{3}`

w=7+
`\sqrt[]{3}`