Question 69832
Let a=area of rectangle
Then a+5=area increased by 5
4a= 4 times the area

Now we are told that:

a+5=40-4a  add 4a to and subtract 5 from both sides

a+4a+5-5=40-5-4a+4a  collect like terms

5a=35  divide both sides by 5

a=7 sq units------------------------area of rectangle

CK

7+5=40-4*7
12=40-28
12=12


Hope this helps----ptaylor