SOLUTION: Here is the question:
A rectangular room is 6 ft longer than it is wide. If each dimension were increased by 2 ft, the area of the room would be increased by 64 square ft. Find
Algebra.Com
Question 1047890: Here is the question:
A rectangular room is 6 ft longer than it is wide. If each dimension were increased by 2 ft, the area of the room would be increased by 64 square ft. Find the original dimensions of the room.
Could you please explain how to find what the area is? I tried the following, but I don't think it's right:
(x+2)(x+8)= A+64
x^2+10x+16=A+64
x^2+10x=A+58
Answer by advanced_Learner(501) (Show Source): You can put this solution on YOUR website!
let x be width then
lenght is x+6
x(x+6) is the area
new dimensions
x+2
x+8
(x+2)(x+8)=64+x(x+6)
10x+16=64+6x
4x=48
x=12
back the question
widht is 12
lenght is 18
area is
let increase each dimension by 2
if widht becomes 14 and lenght becomes 20
then area is which is increases
RELATED QUESTIONS
A rectangular bedroom is 7 ft longer than it is wide. Its area is 228 ft (square) what is (answered by Nate)
a rectangular bedroom is 7 ft longer than it is wide. its area is 228 ft. what is the... (answered by scott8148)
A rectangular bedroom is 2 ft longer than it is wide. Its area is 255 ft2. What is the... (answered by rapaljer)
A rectangular bedroom is 2 ft longer than it is wide. Its area is 288 ft2. What is the... (answered by algebrahouse.com)
A rectangular bedroom is 7 ft longer than is wide. Its area is 228 ft (square) What is... (answered by Nate)
A rectangular room is 6 meters longer than it is wide, and its perimeter is 28 meters.... (answered by macston)
A rectangular room is 6 meters longer than it is wide, and its perimeter is
24 meters.... (answered by ikleyn,josgarithmetic,josmiceli)
A room is eleven ft longer than it is wide. If the perimeter is 70 ft, what are the... (answered by solver91311)
A room is seven ft longer than it is wide. If the perimeter is 46 ft, what are the... (answered by Cromlix)