Question

The perimeter of a square is 44 cm. The area of a rectangle is 4 cm less than the area of the square. If length of the rectangle is 15 cm, then its perimeter is​..?

Answer 1

Answer:

30.54

Explanation:

area of rectangle = 4cm

length of rectangle =15cm

breadth of rectangle =?

area of rectangle =length×breadth

4 = 15×x

4÷15 = x

0.27 =x

therefore, perimeter of rectangle= 2(l+b)

= 2×(15+0.27)

= 2×15.27

= 30.54

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Answer 2

$\huge \red {\boxed {\boxed {\mathbb {QUESTION}}}}$

The perimeter of a square is 44 cm. The area of a rectangle is 4 cm less than the area of the square. If length of the rectangle is 15 cm, then its perimeter is..?

$\huge \purple {\boxed {\boxed {\mathbb {ANSWER}}}}$

$\huge \blue {\underline {\underline {\mathbb {48 cm.}}}}$

$\huge \pink {\boxed {\boxed {\mathbb {EXPLAINATION}}}}$

$\huge \purple {\boxed {\boxed {\mathbb {GIVEN}}}}$

• Perimeter of Square = 44 cm.

• Area of Rectangle is 4 cm² less than Area of Square.

• Length of Rectangle = 15 cm.

$\huge \purple {\boxed {\boxed {\mathbb{PERIMETER\:OF\:SQUARE:- }}}}$

• => Perimeter of Square = 4 × Side

• => 44 cm = 4 × Side

Dividing both term by 4

$\huge \green {\boxed {\boxed {\mathbb {SIDE = 11CM }}}}$

[•_•] <============> [•_•]

$\huge \purple {\boxed {\boxed {\mathbb {AREA\:OF\:SQUARE:- }}}}$

• => Area of Square = (Side)²

• => Area of Square = (11 cm)²

• => Area of Square = (11 cm × 11 cm)

$\green {\boxed {\boxed {\mathbb {AREA\:OF\:SQUARE=121CM°2 }}}}$

[•_•] <============> [•_•]

$\huge \purple {\boxed {\boxed{\mathbb{ AREA\:OF\:RECTANGLE:- }}}}$

• => Area of Rectangle = Length × Breadth

• => Area of Square – 4 = 15 cm × Breadth

• => 121 cm² – 4 cm² = 15 cm × Breadth

• => 116 cm² = 15 cm × Breadth

Dividing both term by 15 cm.

$\green {\boxed {\boxed {\mathbb { BREADTH=7.73CM }}}}$

[•_•] <===========> [•_•]

$\huge\purple{\boxed{\boxed{\mathbb{PERIMETER\:OF\:RECTANGLE:- }}}}$

• => Perimeter = 2(Length + Breadth)

• => Perimeter = 2(15 cm + 7.73 cm)

• => Perimeter = 2 × 22.73 cm

• => Perimeter = 45.46 cm.

$\green {\boxed {\boxed {\mathbb { PERIMETER=45.46CM }}}}$

∴ Perimeter of Rectangle will be 45.46cm.

.

$\huge \green {\boxed {\boxed {\underline {\mathbb {SINGLE\:STAR}}}}}$