A rectangular room is 12-1/2 feet long and 10-1/3 feet wide. What is the area of the room?

the length of room is 24 feet

Step-by-step explanation:

Let the breadth be x .

Then, Length, l = x + 9

According to the question,

Area of rectangle = length × breadth

Putting the values of length and breadth, we get:

360 = ( x + 9 ) x

360 = x² + 9x

x² + 9x - 360 = 0

x² + 24x - 15x - 360 = 0

x( x + 24) - 15(x + 24) = 0

( x + 24 ) = 0 or ( x - 15 ) = 0

x = - 24 or x = 15 [ Negative number is ignored ]  

Now,  

Length, l = x + 9 = 15 + 9 = 24 feet

Thus, the length of room is 24 feet .

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula