You need to order carpet for a room that has a length that is three times its width. if the area of the room is 432 square feet,

Question

taurus [48]

3 years ago

10

You need to order carpet for a room that has a length that is three times its width. if the area of the room is 432 square feet,

find the width of the room.

Mathematics

1 answer:

Mashcka [7] · Answer 1 · 2022-03-17T05:15:32+03:00

Let
x------> the <span>length of a room
y-----> the width of a room

we know that
Area of a room=x*y
Area of a room=432 ft</span>²
so
432=x*y-----> equation 1

x=3y-----> equation 2

substitute equation 2 in equation 1
432=[3y]*y----->432=3y²
y²=432/3
y²=144----------> y=√144-----------> y=12 ft
x=3y-----> x=3*12-----> x=36 ft

the answer is
the width of the room is 12 ft