The length of a rectangular field is two more than twice its breadth. Find its area if the breadth is x + 1?

2 x^{2} + 6 x + 4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2 x^{2} + 3 x + 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x^{2} + 6 x + 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x^{2} + 8 x + 24

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $2 x^{2} + 6 x + 4$
Breadth $= x + 1$
Length $= 2 (x + 1) + 2$
$= 2 x + 2 + 2 = 2 x + 4 = 2 (x + 2)$

$Area = Length \times Breadth$

$= 2 (x + 2) \times (x + 1)$
$= 2 \times (x + 2) (x + 1)$

By applying the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$

$= 2 \times (x^{2} + (2 + 1) x + 2)$
$= 2 x^{2} + 6 x + 4$

Suggest Corrections

Similar questions

The length of a rectangular field is one more than twice its breadth. Find its area if the breadth is $x$ ?

A rectangular field has an area of $3 s q . u n i t s$ . The length is one unit more than twice the breadth. Frame an equation to represent this. [Assume breadth is $x$ ].

The length of a rectangular field is one more than twice of the breadth. What is its area if the breadth is x?

For a rectangular field of area 3 sq. units, the length is one unit more than twice the breadth that measures ‘x’ units. The quadratic equation representing the situation is:

The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528 m². Which of the following quadratic equations represents the given situation:

Join BYJU'S Learning Program

The length of a rectangular field is two more than twice its breadth. Find its area if the breadth is x + 1?

The correct option is A 2x2+6x+4Breadth =x+1 Length =2(x+1)+2 =2x+2+2=2x+4=2(x+2) Area=Length×Breadth =2(x+2)×(x+1) =2×(x+2)(x+1) By applying the identity (x+a)(x+b)=x2+(a+b)x+ab =2×(x2+(2+1)x+2) =2x2+6x+4