Question

the length of a rectangle plus its width is 35 cm the area 306 what are the length and width of the rectangle

Answer 1

Step-by-step explanation:

Let width be w, length be l

l + w = 35, so w = 35 - l

lw = 306

l(35-l) = 306

35l - l^2 = 306

l^2 - 35l + 306 = 0

(l - 17)(l - 18) = 0

l = 17 or 18

When length = 17, width = 35-17 = 18

When length = 18, width = 35-18 = 17