Question

apoorba wishes to paste square sheeets on one wall of her room.if the area of the wall is 4096 cm square, find the size of the sheets,, if the number of sheets were 64​

Answer 1

Answer:-

The side of the sheet must be equal 8 cm.

Explanation:-

Given:-

• Area of wall = 4096 cm².

• Number of sheets Apoorba have = 64.

To Find:-

• The size of each sheet.

So,

It is given that area of wall is 4096 cm² and Apoorba have 64 sheets,

So If we multiply area of each sheet and number of sheets we mist get area of the wall,

So let the size of sheets be x.

↦ Area of sheets×Number of sheets = Area of wall.

↦ x × 64 = 4096 cm².

↦ 64x = 4096 cm².

↦ x = 4096/64 cm².

↦ x = 64 cm².

So area of the sheets = 64 cm².

Also,

The sheets are in square shape therefore the square of its side i.e size = 64 cm².

↦ side² = 64 cm².

↦ (Side)² = (8 cm)².

↦ Side = 8 cm.

Therefore size of each sheet is equal to 8 cm.

Answer 2

Step-by-step explanation:

$\bf{\underline{\underline\red{Given:-}}}$

• Area of the wall = 4096cm²

• The number of square sheets used = 64 sheets.

$\bf{\underline{\underline\blue{To\:Find:-}}}$

• The side of the sheets.

$\bf{\underline{\underline\green{Solution:-}}}$

Area of the wall = 4096 cm²

Since the number of sheets used to cover the wall is 64

Area of 64 sheets = 4096 cm²

Now:-

Area of 1 sheet

= $\dfrac{4096}{64}$

= 64

∴ The area of 1 sheet = 64cm²

Given the sheet is square shaped

Area of square = (side)²

Here area of square is the area of sheet .

We need to find the side of the sheet.

$\rm \implies64 = {Side}^{2}$

$\rm \implies Side \: = \sqrt{64}$

$\rm \implies Side \: = \sqrt{8 \times 8}$

$\rm \implies Side \: = 8$

$\large \underline{ \boxed{ \purple{\rm \therefore Side \:of \: sheet = 8cm}}}$