Question

length of a rectangle is 2 more than the breadth and area is 15 square find perimeter​

Answer 1

Answer:

The perimeter is 16 units

Step-by-step explanation:

Given -

Length = 2 m more than breadth

Area = 15 sq. units

To find -

The perimeter

Solution -

Let the -

• Breadth be y
• Length be 2 + y

★ Area = Length × Breadth

⇒ (2 + y) × y = 15

⇒ 2y + y² = 15

⇒ 2y + y² - 15 = 0

⇒ y² - 3y + 5y - 15 = 0

⇒ y(y - 3) + 5(y - 3) = 0

⇒ (y - 3)(y + 5) = 0

⇒ y = 3 (As sides can't be negative)

Breadth = 3 units

$\rule{300}{1.5}$

★ Length -

⇒ 2 + y

⇒ 2 + 3

⇒ 5

Length = 5 units

$\rule{300}{1.5}$

★ Perimeter of the rectangle = 2(Length + Breadth)

⇒ 2(5 + 3)

⇒ 10 + 6

⇒ 16 units

Therefore, the perimeter is 16 units.

Answer 2

Answer:

• 16

Step-by-step explanation:

Given:

Let breadth be x

Length = 2+x

Area of reactangle = 15 cm2

Area of reactangle = length × Breath

15 = x(2+x)

15 = 2x + x2

x2+2x-15= 0

x2 -3x+5x-15=0

x(x-3)+5(x-3)=0

(X+5)(x-3)=0

X=3

Because Length can't be negative

Breathe = 3

length= 3+2 =5

Perimeter of rectangle = 2(l + b)

= 2(3+5)

= 2×8

= 16

Hope it helps you.