You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Powered Numbers

The area of a...

Question

The area of a rectangle is $(2 x^{2} + 5 x + 3)$ square units. If the length of rectange is $(2 x + 3)$ units, the breadth of rectangle is units.

x - 1

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

x + 1

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

2 x + 1

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

Open in App

Solution

The correct option is B $x + 1$
$\begin{matrix} x + 1 2 x + 3 2 x^{2} + 5 x + 3 2 x^{2} + 3 x - - - --------------- - 2 x + 3 ‘ 2 x + 3 - - - ---------- - 0 \end{matrix}$
So, the breadth of the rectangle is $(x + 1)$ units.

Suggest Corrections

Similar questions

Q. If the length of a rectangle is reduced by 5 units and its breadth is increased by 3 units, then the area of the rectangle is reduced by 8 square units. If length is reduced by 3 units and breadth is increased by 2 units, then the area of the rectangle will increase by 67 square units. Then find the length and breadth of the rectangle.

Q. If the length of a rectangle is decreased by 3 units, and its breadth increased by 5 units, then the area of the rectangle is increased by 10 square units. If the length is increased by 3 units, and breadth decreased by 3 units, then the area is decreased by 18 square units. What is the breadth of the rectangle?

Q. If the length of a rectangle is reduced by

5

units and its breadth in increased by

3

units then the area of the rectangle is reduced by

8

square units. If length is reduced by

3

units and breadth is increased by

2

units, then the area of rectangle will increase by

67

square units. Then find the length and breadth of the rectangle.

Q. The area of a rectangle gets reduced by

9

square units, if its length is reduced by

5

units and breadth is increased by

3

units. If we increase the length by

3

units and the breadth by

2

units, the area increases by

67

square units. Find the dimensions of the rectangle.

The area of a rectangle gets reduced by 9 square units. if its length is reduced by 5 units and breadth is increased by 3 units. However, if the length of this rectangle increases by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.

Let the length of the rectangle = x units and its breadth = y units

According to first condition :
$(x - 5) (y + 3) = x y - 9$ and

According to second condition:
$(x + 3) (y + 2) = x y + 67$

Join BYJU'S Learning Program

The area of a rectangle is (2x2+5x+3) square units. If the length of rectange is (2x+3) units, the breadth of rectangle is units.

The correct option is B x+1 x+12x+32x2+5x+3 2x2+3x − −–––––––––––––––––2 2x+3 ‘ 2x+3 − −–––––––––––– 0 So, the breadth of the rectangle is (x+1) units.

The area of a rectangle is $(2 x^{2} + 5 x + 3)$ square units. If the length of rectange is $(2 x + 3)$ units, the breadth of rectangle is units.

The correct option is B $x + 1$
$\begin{matrix} x + 1 2 x + 3 2 x^{2} + 5 x + 3 2 x^{2} + 3 x - - - --------------- - 2 x + 3 ‘ 2 x + 3 - - - ---------- - 0 \end{matrix}$
So, the breadth of the rectangle is $(x + 1)$ units.