What are the dimentions of the rectangle?

Question

The perimeter is 52 and the area is 153.

Answer 1

area=153

153=3*3*17

3*3=9, 9+17=26. and 2*26=52

you have a 9 by 17 rectangle

if you need algebra work...

P=2l+2w

52=2l+2w

26=l+w

l=26-w

A=l*w

153=(26-w)*w

153=26w-w^2

w^2-26w+153=0

153=3*3*17=(3*3)*17=9*17 and 17+9=26

(w-9)(w-17)=0

w-9=0

w=9

w-17=0

w=17

it all comes down to factoring 153 and combining the factors, just like above without algebra