Question

5. The length of a garden is 2 m more than twice its width and its area is 24 m2. Which of the following
equations represents the given situation?
A. x² + x = 12
c. x² + x = 24
B. x2 + 2x = 12
D. x2 + 2x = 24​

Answer 1

Answer

• x^2 + X = 12

Solution

Given,

• the length of the garden is 2 metre more than twice it's width
• the area of the garden is 24 metre square

Now,

• Let the width be "X" .
• then, the length will be "2x+2" .

So,

• the area of the garden( rectangular shape ) will be ; X(2x+2) = 24

solving this quadratic equation we get ;

$= > x(2x + 2) = 24$

$= > {2x}^{2} + 2x = 24$

• now divide 2x^2 + 2x to 2 = 24/2

Then you will get the equation : x^2 + X = 12 .

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The length of a garden is 2 m more than twice its width and its area is 24 m². Which of the following equations represents the given situation

A. x² + x = 12

B. x² + 2x = 12

C. x² + x = 24

D. x² + 2x = 24

EVALUATION

Let the width of the garden = x metre

Since the length of a garden is 2 m more than twice its width

So length of the garden = ( 2x + 2 ) metre

Area of the garden

$\sf = (2x + 2).x \: \: \: {m}^{2}$

$\sf = (2 {x}^{2} + 2x) \: \: \: {m}^{2}$

So by the given condition

$\sf (2 {x}^{2} + 2x) = 24$

$\sf \implies \: 2( {x}^{2} + x) = 24$

$\sf \implies \:{x}^{2} + x = 12$

Which is the required equation

FINAL ANSWER

Hence the correct option is A. x² + x = 12

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