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.

Answer 1

Answer:

28 - 3a

Step-by-step explanation:

Perimeter of Rectangle = 2[L + B]

a) 2[a + (3{a - 2)})] = 44

b) 3a + a - 6 = 44/2

4a = 22 + 6

a = 7

Answer 2

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 :

a) Write an equation to show this.

b) Find the lengths of the sides of the rectangle.

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.