Respuesta :
Answer:
8) width = 30 cm
length = 60 cm
9) first side = 60 m
second side = 180 m
third side = 240 m
Step-by-step explanation:
Question 8
Let W = width
Given:
- length of a rectangle is 30 cm less than 3 times the width
⇒ Length = 3W - 30
Given:
- Perimeter = 180 cm
Perimeter of a rectangle = 2W + 2L
(where W is the width and L is the length)
Substituting equation for length into the equation for the perimeter and solving for W:
Perimeter = 2W + 2L
⇒ 180 = 2W + 2(3W - 30)
⇒ 180 = 2W + 6W - 60
⇒ 240 = 8W
⇒ W = 30 cm
Substitute found value of W into the equation for length and solve for length:
⇒ Length = 3(30) - 30
⇒ Length = 90 - 30
⇒ Length = 60 cm
Question 9
Given:
- The second side is 3 times the first and the third side is 60 m more than the second.
Let x = first side
⇒ second side = 3x
⇒ third side = 3x + 60
Given:
- Perimeter of triangle = 480 m
Perimeter = sum of length of all sides
⇒ 480 = x + 3x + 3x + 60
⇒ 420 = 7x
⇒ x = 60
Therefore,
first side = 60 m
second side = 3 × 60 = 180 m
third side = 3(60) + 60 = 240 m
width be x
length=3x-30
Now
- 2(3x-30+x)=180
- 4x-30=90
- 4x=120
- x=30
- 3x-30=60°
#2
sides be x,3x,3x+60
Now
- x+3x+3x+60=480
- 7x=420
- x=60°
Hence
- 3x=180
- 3x+60=240