Question

Scenario:

Susan wants to make 2 square flags to sell at a crafts fair. the fabric she wants to buy is 3 meters wide. she doesn't want any fabric left over. What's the least amount of fabric she should buy?

Question:

Which equation will help Susan solve her problem?

Note: Let X represent the length of 1 side of the flag.

Options:

1) 3x^2 -2x =0

2) 2x^2 =3x

3) 2 * 2 = 2 * 2

4) 6 +2x = 2(4x)

Answer 1

Answer:

B) 2x² = 3x

Step-by-step explanation:

Answer 2

Answer:

Option 2 - $x^2=3x$                

Step-by-step explanation:

Given : Susan wants to make 2 square flags to sell at a crafts fair. The fabric she wants to buy is 3 meters wide. she doesn't want any fabric left over.

To find : What's the least amount of fabric she should buy?

Solution :

If  she doesn't want any fabric left over.

The fabric purchased should have same area of the flags.

So, let x be the length of 1 side of the flag.

Area of the flag is

$A=s^2$

$A=x^2$

Area of 2 square flags is $A=2x^2$

Now, Area of fabric is

$A=l\times b$

$A=x\times 3$

$A=3x$

According to question,

Area is same so,

$x^2=3x$

Therefore, Option 2 is correct.