Question

Find the area of square of side 4cm . If the side of square is doubled , find the area of resulting new square

Answer 1

Question :-

Find the area of square of side 4cm . If the side of square is doubled , find the area of resulting new square.

Given :-

• Side of square = 4cm

To find :-

Area of new square.

Formula used :-

Area of square = side²

Solution :-

Side of square = 4cm

Area of square = side²

= (4)² = 16cm²

Area of square = 16cm²

When side of square is doubled,

New side = 2 × old side

= 2 × 4cm

= 8cm

Side of new square = 8cm

Area of new square = side²

= (8)² = 64cm²

Area of new square = 64cm²

Therefore,

Area of new square = 64cm².

More to know :-

• Perimeter of square = 4 × side

• Area of square = side²

Answer 2

Answer:

When side of square is 4cm the area of a square is $16cm^{2}$

When side of square is 8cm the area of a square is $64cm^{2}$

Step-by-step explanation:

Given value is side of a square = 4cm,

To find:- The area of a square.

And  If the side of square is doubled , find the area of resulting new square.

Here we have to use the formula of area of a square that is as follow,

Area =$(side)^{2}$

So, the area of a square is as follow,

First the value of side is 4cm,

So the area of a square is as follow,

$Area=4^{2} \\A=4\times 4\\A=16cm^{2}$

Second the side of square is doubled,

The side will be double that is,

$2\times side =4\times 2 =8cm$

The area of a new square is as follow,

$Area=(side)^{2} =8^{2}$

$8^{2}=8\times8\\=64cm^{2}$