Question

The length of a rectangle plus its width is 25cm. The area is 156 square cm.

What are the length and width of the rectangle?

Answer 1

l + w = 25
l * w = 156
Solve the first one for l. Then plug that in for l in the second one and solve for w. Finally, plug that back into the first one to solve for l.

Answer 2

Well, I had a nice reply, but it didn't post. You could also use a table of values of numbers that add up to 25.

Answer 3

so l = 25 - w. Sub in:
(25 - w)(w) = 156
-w^2 + 25w = 156
-w^2 + 25w - 156 = 0
(w - 12)(-w + 13) = 0
so w is either 12 or 13. if w is 12, l is 13 and vice-versa.

Answer 4

L W L + W Area
1 24 25 24
2 23 25 46
3 22 25 66
4 21 25 84
5 20 25 100
6 19 25 114
7 18 25 126
8 17 25 136
9 16 25 144
10 15 25 150
11 14 25 154
12 13 25 156
13 12 25 156
14 11 25 154
15 10 25 150
16 9 25 144
17 8 25 136
18 7 25 126
19 6 25 114
20 5 25 100
21 4 25 84
22 3 25 66
23 2 25 46
24 1 25 24