Answer :
Answer:
The length is 50 feet and the width is 16 feet
Step-by-step explanation:
Let w represent the width of the room.
If the length is 2 feet longer than 3 times the width, the length can be represented by 3w + 2.
Use the perimeter formula, p = 2l + 2w. Plug in the perimeter and plug in 3w + 2 as l, the length:
p = 2l + 2w
132 = 2(3w + 2) + 2w
Simplify and solve for w:
132 = 6w + 4 + 2w
132 = 8w + 4
128 = 8w
16 = w
So, the width is 16 feet.
Plug in 16 as w into 3w + 2 to solve for the length:
3w + 2
3(16) + 2
48 + 2
= 50
The length is 50 feet and the width is 16 feet
Answer:
width=16feet
length=50feet
Step-by-step explanation:
let width be x and length be 3x+2
perimeter=2(length+width)
132=2(3x+2+x)
132=6x+4+2x
132=8x+4
132-4=8x
128/8=8x/8
16=x
width=16feet
length=16×3+2
length=50feet