Answer :
The width of the room is 5 meters and its length is 20 meters.
What is the formula for the Perimeter of Rectangle?
A rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.
The Perimeter of rectangle is -
P = 2(x + y)
The Area of rectangle is -
A = xy
We can write -
P = 2x + 2y
Py = 2xy + 2y²
Py = 2A + 2y²
2y² - Py + 2A = 0
y = ± (P² - 16A)/4
Given is a rectangular room is 4 times as long as it is wide. Its perimeter is 50.
Perimeter of the room -
2(x + y) = 50
and
x = 4y
Then, the perimeter of the room -
2(x + y) = 50
2(5y) = 50
5y = 25
y = 5 m
Then -
x = 20 m
Hence, the width of the room is 5 meters and its length is 20 meters.
To solve more questions on Rectangles and their Dimensions, visit the link below -
brainly.com/question/26183930
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