How do you find sides of a rectangle with area and perimeter?

Answer 1

This is a good question, and you need to know the quadratic formula

let A = area

b = width

h = height

P = perimeter

A = bh

b = A/h

P = 2b + 2h

P = 2A/h +2h = (2h^2 + 2A)/h

Ph = 2A + 2h^2

2h^2 - Ph + 2A = 0

use quadratic formula to solve:

h =( P +/- SQRT(P^2 -16A))/4

This gives both sides b and h using plus then minus the square root