The length of one side of a rectangle is a cm.
Another side is 3(a-2) cm long.
The perimeter is 44 cm.
a) Write an equation to show this.
b) Find the lengths of the sides of the rectangle.
10 point is here so no spam
Answers
QuestioN :
The length of one side of a rectangle is a cm.
Another side is 3(a-2) cm long.
The perimeter is 44 cm.
a) Write an equation to show this.
b) Find the lengths of the sides of the rectangle.
GiveN :
- The length of one side of a rectangle is a cm.
- Another side is 3(a-2) cm long.
- The perimeter is 44 cm.
To FiNd :
- Write an equation to show this.
- Find the lengths of the sides of the rectangle.
ANswer :
∴ Length of rectangle = 3(7 - 2) = 3 × 5 = 15 cm.
∴ Breadth of rectangle = 7 cm.
SolutioN :
∵ Perimeter of rectangle = 2(length + breadth)
Also, perimeter = 44 cm.
So atq,
⇒ 2[a + 3(a - 2)] = 44 [Required answer for (a)]
⇒ 2[a + 3a - 6] = 44
⇒ 2[4a - 6] = 44
⇒ 4a - 6 = 44/2
⇒ 4a - 6 = 22
⇒ 4a = 22 + 6
⇒ 4a = 28
⇒ a = 28/4
⇒ a = 7
∴ Length of rectangle = 3(7 - 2) = 3 × 5 = 15 cm.
∴ Breadth of rectangle = 7 cm.
Answer:
Perimeter of rectangle = 2(length + breadth)
Also, perimeter = 44 cm.
So atq,
⇒ 2[a + 3(a - 2)] = 44 [Required answer for (a)]
⇒ 2[a + 3a - 6] = 44
⇒ 2[4a - 6] = 44
⇒ 4a - 6 = 44/2
⇒ 4a - 6 = 22
⇒ 4a = 22 + 6
⇒ 4a = 28
⇒ a = 28/4
⇒ a = 7
∴ Length of rectangle = 3(7 - 2) = 3 × 5 = 15 cm.
∴ Breadth of rectangle = 7 cm.
Step-by-step explanation: