Question

The length of a rectangle is four times its breadth. If its breadth is 8 cm, find its
perimeter and area.​

Answer 1

Answer:

Perimeter=80cm

Area=256sq.cm

Explanation: see the pic

Thanks.

Answer 2

$\huge \underline \mathbb {SOLUTION:-}$

AnswEr:

• The perimeter of the rectangle = 80 Cm
• The area of the rectangle = 256 Cm²

Given:

• The length of a rectangle is four times it breadth.
• The breadth of the rectangle is 8 Cm.

Need To Find:

• The perimeter of the rectangle = ?
• The area of the rectangle = ?

ExPlanation:

In Case l:

Need To Find:

• The perimeter of the rectangle = ?

➠ The length of the rectangle = 4 × b

➠ The length of the rectangle = 4 × 8

➠ The length of the rectangle = 32 Cm

• Hence, length of the rectangle is 32 Cm.

Now Formula used here:

• Perimeter of rectangle = 2 × (l + b)

Putting the values according to the given formula:

➠ Perimeter of the rectangle = 2 × 8 + 32

➠ Perimeter of rectangle = 2 × 40

➠ Perimeter of rectangle = 80 Cm

• Hence, the perimeter of the rectangle is 80 Cm.

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

In Case II:

Need To Find:

• The area of the rectangle = ?

Formula used here:

• Area of rectangle = Length × Breadth

Putting the values according to the given formula:

➠ Area of rectangle = 8 × 32

➠ Area of rectangle = 256 Cm²

• Hence, the area of the rectangle is 256 Cm².

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

What is Perimeter?

• The length of the boundary of a closed figure is called the perimeter.

• Perimeter of rectangle = 2 × (Length + Breadth)
• Perimeter of a square = 4 × Side

What is Area?

• The measure of the surface enclosed by a closed figure is called area.

• Area of rectangle = Length × Breadth
• Area of a square = Side × Side

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