Question

The perimeter of a rectangle is 90 in. The length is 3 more than the width. What is the length?

Answer 1

Given

Perimeter of Rectangle is 90 units .

Length is 3 more than the width.

To Find

we have to find the length

$\sf\huge {\underline{\underline{{Solution}}}}$

Since, perimeter of Rectangle is given and we don't know the length and breadth.So,let us assume the length and breadth some Variable.

Let the breadth be 'x'

Length is 3 more than the width :

Then our Equation becomes :3+x

Perimeter of Rectangle= 2(l+b)

Where ,l is the length and b is the breadth

=> Perimeter of Rectangle= 2(3+x+x)

=> 90= 2(2x+3)

=>90= 4x+6

=> 84= 4x

=> x= 84÷4

x= 21

Hence, breadth is 21 units

length = 3+x= 3+21= 24 units

Check:

Perimeter of Rectangle= 2(24+21)

Perimeter of Rectangle=2(45)=90 units.

Extra information=>

Perimeter is the total distance occupy by a solid 2D figure around its edge.

Some properties of Rectangle:

• Opposite sides are equal and parallel
• Both Diagonals bisects each other and are equal in length.
• The sum of all Interior angles is 360°.

Answer 2

Step-by-step explanation:

Given

Perimeter of Rectangle is 90 units .

Length is 3 more than the width.

To Find

we have to find the length

$\sf\huge {\underline{\underline{{Solution}}}} </p><p>Solution$

Since, perimeter of Rectangle is given and we don't know the length and breadth.So,let us assume the length and breadth some Variable.

Let the breadth be 'x'

Length is 3 more than the width :

Then our Equation becomes :3+x

Perimeter of Rectangle= 2(l+b)

Where ,l is the length and b is the breadth

=> Perimeter of Rectangle= 2(3+x+x)

=> 90= 2(2x+3)

=>90= 4x+6

=> 84= 4x

=> x= 84÷4

x= 21

Hence, breadth is 21 units

length = 3+x= 3+21= 24 units

Check:

Perimeter of Rectangle= 2(24+21)

Perimeter of Rectangle=2(45)=90 units.

Extra information=>

Perimeter is the total distance occupy by a solid 2D figure around its edge.

Some properties of Rectangle:

• Opposite sides are equal and parallel
• Both Diagonals bisects each other and are equal in length.
• The sum of all Interior angles is 360°.