Question

let the area of a square be 9 cm^2. What would be the new area . if its side is reduced by 1 cm​

Answer 1

Answer:

The new area of square is 4cm^{2}.4cm

2

.

Step-by-step explanation:

Given,

The area of square = 9 cm square

To find, the new area if its side is reduced by 1 cm = ?

Let the side of square = a cm

We know that,

The area of square =a^{2}=a

2

⇒ a^{2}=9 cm^{2}a

2

=9cm

2

⇒a^{2}=(3cm)^{2}a

2

=(3cm)

2

⇒ a = 3 c m

New side is reduced by 1 cm = 3 cm - 1 cm = 2 cm

∴ The new area of square=(2cm)^{2}=(2cm)

2

=4cm^{2}=4cm

2

Hence, the new area of square is 4cm^{2}.4cm

Answer 2

Given:

• Area of a square is 9cm²
• It's side is reduced by 1 cm

⠀

To find:

• New area of the square after reducing the side.

⠀

Solution:

• Firstly, we have to find the older side of cube. We have the area of cube.

⠀

Formula used

⠀

☆ Area = (side)²

⠀

→ Area = 9

→ side² = 9

→ side = √9

→ side = 3 cm

⠀

New side is one less than the before.

Therefore,

• New side = 3 - 1 = 2cm

⠀

Finding area of the square with its new side

⠀

→ New area = (new side)²

→ New area = (2)²

→ New area = 4 cm²

⠀

Hence,

• New area of the square is 4cm².