Question

A rectangle and Square have the same perimeter 100 cm .find the side of the square. if the rectangle has a breath of 2 cm less than that of the square. find the breadth length and area of the rectangle ?​

Answer 1

Answer:

200 will be in the answer to your question

Step-by-step explanation:

Follow me and give me 5 thanks and brainliest answer

Answer 2

$\huge\star{\underline{\mathtt{\red{S}\pink{o}\green{l}\blue{u}\purple{t}\orange{i}\red{o}\pink{n}}}}⋆$

GIVEN ;

A rectangle and Square have the same perimeter = 100cm

TO FIND ;

The side of the square = ?¿

We know the formula ;

${\green{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{Perimeter \:of \:square = 4 × \:side}}}}}}}}}$

$~~~~~~~~~~~~~~➣P = 4 × s$

$~~~~~~~~~~~~~~➣100cm = 4 × s$

$~~~~~~~~~~~~~~➣\frac{100}{4} = s$

$~~~~~~~~~~~~~~➣25 = s$

Side = 25cm

Now ;

if the rectangle has a breath of 2 cm less than that of the square.

⟹ Breath of rectangular = (side of square - 2)

$~~~~~~~~~~~~⟹ (25 - 2)cm$

$~~~~~~~~~~~~⟹ 23cm$

Breath = 23cm

TO FIND ;

Length of rectangle = ?¿

Area of rectangle = ?¿

So ;

Let length be = x

We know the formula ;

${\green{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{Perimeter of rectangle = 2( length + breath)}}}}}}}}}$

$~~~~~~~~~~~~~~➣ 100cm = 2(x + 23)$

$~~~~~~~~~~~~~~➣ \frac{100}{2} = (x + 23)$

$~~~~~~~~~~~~~~➣ \cancel\frac{100}{2} = (x + 23)$

$~~~~~~~~~~~~~~➣ 50 = (x + 23)$

$~~~~~~~~~~~~~~➣ 50 - 23 = x$

$~~~~~~~~~~~~~~➣ 27 = x$

Length = 27cm

Now ;

We know the formula ; (To find area)

${\green{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{Area of rectangle = length × Breadth}}}}}}}}}$

$~~~~~~~~~~~~~~➣ A = 27cm × 23cm$

$~~~~~~~~~~~~~~➣ A = 621cm²$

Area = 621cm²

_______________________________________

Side of square = 25cm

Breadth = 23cm

Length = 27cm

Perimeter of rectangle = 100cm

Area of rectangle = 621cm²

_______________________________________