Question

1. The area of a rectangle is 126 cm2. Its breadth is 7cm. Find the length of the rectangle .

2. The area of a square is 36cm2. What is the perimeter.

Answer 1

length = 18 cm; perimeter = 36 cm

Hello :)

Step-by-step explanation -

Our task is to a) find the length of the rectangle b) find the perimeter of the square.

Let's focus on the rectangle for now.

Given:

• breadth (width) = 7 cm
• area = 126 cm²

To find:

• the length

Let's apply the formula for the area of a rectangle,
`\pmb{A=lw}`.

(A = area, l = length, and w = width).

Replace A with 126:

`\pmb{126=lw}`

Then, replace w with 7:

`\pmb{126=7l}`

Now solve for l.

`\pmb{l=18}`

Therefore, the length of the rectangle is 18 cm.

Checking:

We better check that 18 is indeed the length of this rectangle. This is the way to do it: Stick in 18 for l and 7 for w, and solve. You should get 126 on both sides.

`\sf{7*18=126}`

`\sf{126=126}`

Therefore, our answer is confirmed.

`\hspace{200}\above3`

2. The area of a square is 36 cm². What is the perimeter?

First, we should find the length of one side of the square.

Let's apply the formula
`\pmb{A=a^2}`.

(A = area & a = side length of a square)

Replace A with 36:

`\pmb{36=a^2}`

Now, if you square root each side, you'll get a:

`\pmb{6=a}`

Now plug that into the perimeter formula:
`\pmb{P=4a}`.

`\pmb{P=4*6=24\:cm}`

Therefore, the perimeter is 24 cm.

Answer 2

Explanation:

1) Area = Length x Breadth

Area = 126 and Breadth = 7, so

126 = Length x 7

Length = 126/7 = 19

2) Area = side x side

36 = side x side

side = 6

Perimeter = side + side + side +side = 4s

Perimeter = 4(6) = 24