A rectangular room has an area of 504 square feet. The length of the room is 3 feet more than the width of the room. Find the length and width of the room.
Answers
Answer:
width and length of floor = a. 7 feet and 12 feet
Explanation:
Given - Area = 504 square feet
Length of room is 3 feet more than its width
Find - Width and length of room
Solution - As we know, area of rectangle is calculated by multiplying length and width.
Let us assume width of floor to x. Now, as per the question, length of floor is x + 3.
Keeping the values in formula of area of rectangle-
Area = length*breadth
504 = (x + 3)*x
x² + 5x = 504
x² + 5x - 84 = 0
x² + 12x - 7x - 84 = 0
x(x + 12) -7(x + 12) = 0
(x + 12) (x - 7) = 0
Now, the values of x are 7 and -12.
As length can not be negative, x will be 7.
So, width of floor will be 7 square feet.
Length of floor = 5 + 7
Length = 12 square feet.
Hence, width and length of floor = a. 7 feet and 12 feet
See more:
https://brainly.in/question/22988008
#SPJ1