Question

the length of a rectangle is three times its width. If the perimeter is 24 cm, what is the length

Answer 1

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

AnswEr:

The area of the rectangle = 27 Cm².

Given:

The length of a rectangle three times its width the perimeter of the rectangle is 24cm.

Need To Find:

Area of the rectangle = ?

ExPlanation:

Let, Breadth of the rectangle be x.

Formula used here:

Perimeter of rectangle = 2(L + B)

Putting the values according to the given formula:

➠ 24 = 2(3 + x)

➠ 12 = 14x

➠ x = 3 cm

ThereFore:

The length and breadth of the rectangle are 9 Cm and 3 Cm.

Again, Formula used here:

Area of rectangle = Length × Breadth

Putting the values according to the given formula:

➠ Area of rectangle = 9 × 3

➠ Area of rectangle = 27 Cm²

ThereFore:

The area of the rectangle is 27 Cm².

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Additional Information:

$\dag†$

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

$\dag†$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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Answer 2

Let width be x

Given :-

length = 3x

Perimeter = 24 cm

To Find :-

length

Step by step solution :-

2(l + w) = Perimeter

2(3x + x) = 24

2(4x) = 24

4x = 24/2

4x = 12

x = 12/4

x = 3

Length = 3x = 3(3) = 9

Verification :-

2(l + w) = Perimeter

2(9 + 3) = 24

2(12) = 24

24 = 24

Hence, Verified!✔