Question

the area of rectangle is 360 CM square which is equal to 90% of the area of a square what is each side of square.​

Answer 1

Answer:

Step-by-step explanation:

• Length of each side of the square is 20 cm.

Given that:

• Area of a rectangle is 360 cm².
• Area of the rectangle is equal to 90% of area of a square.

To Find:

• Length of each side of the square.

Let us assume:

• Area of the square be y.

According the question:

• $\sf{\dfrac{90}{100}\times y = 360}$

Cutting off the zeros,

$\sf{\longrightarrow \dfrac{9\!\!\!\not{0}}{10\!\!\!\not{0}}\times y = 360}$

$\sf{\longrightarrow \dfrac{9}{10}\times y = 360}$

Multiplying 9/10 and y,

$\sf{\longrightarrow \dfrac{9y}{10} = 360}$

Transposing 10 from LHS to RHS and changing its sign,

$\sf{\longrightarrow 9y = 360\times10}$

Multiplying 360 and 10,

$\sf{\longrightarrow 9y = 3600}$

Transposing 9 from LHS to RHS and changing its sign,

$\sf{\longrightarrow y = \dfrac{3600}{9}}$

Dividing 36 by 9,

$\sf{\longrightarrow y = 400}$

Hence, y = 400.

Therefore, area of square is 400 cm².

Now,

We know that:

Area = (Side)²

Then,

Side of square = √Area

= √400

= 20 cm

Hence, length of each side of the square is 20 cm.